36 is both the
square of
six, and the eighth
triangular number[1] or the sum of the first eight non-zero positive
integers, which makes 36 the first non-trivial
square triangular number.[2] Aside from being the smallest square triangular number other than
1, it is also the only triangular number (other than 1) whose
square root is also a triangular number. 36 is also the eighth
refactorable number, as it has exactly nine positive divisors, and
9 is one of them;[3] in fact, it is the smallest number with exactly nine
divisors, which leads 36 to be the 7th
highly composite number.[4] It is the sum of the fourth pair of
twin-primes (
17 +
19),[5] and the 18th
Harshad number in
decimal, as it is divisible by the sum of its digits (9).[6]
Since it is possible to find sequences of 36 consecutive integers such that each inner member shares a factor with either the first or the last member, 36 is an
Erdős–Woods number.[11]
36 is the number of characters required to store the display name of a
UUID or
GUID (e.g., 00000000-0000-0000-C000-000000000046).
In religion
Jewish tradition holds that the number 36 has had special significance since the beginning of time: According to the
Midrash, the light created by God on the first day of
creation shone for exactly 36 hours; it was replaced by the light of the
Sun that was created on the Fourth Day.[16] The
Torah commands 36 times to love, respect and protect the stranger.[16] Furthermore, in every generation there are 36
righteous people (the "Lamed Vav Tzadikim") in whose merit the world continues to exist.[16] In the modern celebration of
Hanukkah, 36 candles are kindled in the menorah over the eight days of that holiday (not including the shamash candle).[16]
In one
Māori legend, concerning the creation of mankind by the god
Tāne, 36 gods took active part in assembling the various parts of the first human before Tāne breathed life into her.[17]
In
Shaivism (s.a.
Kaśmir Śaivism),
The 36 tattvas describe the Absolute, its internal aspects and the creation including living beings, down to the physical reality.
In Egyptian religion, the 36
decans are a series of gods presiding over the degrees of the zodiac and the fixed stars.[18]
Traditional
Hindu marriage bases compatibility on a set of 36 astrological qualities or
Gunas, 18 of which must be shared if the union is to be considered auspicious.
In the arts, culture, and philosophy
36 Views of Mount Fuji, a famous series of prints by Japanese ukiyo-e artist Katsushika Hokusai
The game of roulette has 36 numbers on the number layout and roulette wheel (together with a 0 or 00 depending on whether it is a European wheel 37 or American wheel 38)
The roulette based game Rollorpoker uses 36 playing cards on the wheel and playing grid, instead of numbers.