36900 has 54 divisors (see below), whose sum is σ = 118482. Its totient is φ = 9600.

The previous prime is 36899. The next prime is 36901. The reversal of 36900 is 963.

It is an interprime number because it is at equal distance from previous prime (36899) and next prime (36901).

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 36864 = 6^2 + 192^2 .

It is a super-2 number, since 2×36900² = 2723220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 9.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 880 + ... + 920.

2³⁶⁹⁰⁰ is an apocalyptic number.

36900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59241).

36900 is an abundant number, since it is smaller than the sum of its proper divisors (81582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36900 is a wasteful number, since it uses less digits than its factorization.

36900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 36900 is about 192.0937271230. The cubic root of 36900 is about 33.2921714140.

Subtracting from 36900 its reverse (963), we obtain a cube (35937 = 33³).

It can be divided in two parts, 36 and 900, that multiplied together give a square (32400 = 180²).

The spelling of 36900 in words is "thirty-six thousand, nine hundred".