36882864 has 100 divisors (see below), whose sum is σ = 108028800. Its totient is φ = 12147840.

The previous prime is 36882803. The next prime is 36882871. The reversal of 36882864 is 46828863.

It is a happy number.

36882864 is a `hidden beast` number, since 368 + 8 + 286 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 193009 + ... + 193199.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^36882864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36882864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014400).

36882864 is an abundant number, since it is smaller than the sum of its proper divisors (71145936).

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

36882864 is a wasteful number, since it uses less digits than its factorization.

36882864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 36882864 is about 6073.1263777399. The cubic root of 36882864 is about 332.8701709621.

The spelling of 36882864 in words is "thirty-six million, eight hundred eighty-two thousand, eight hundred sixty-four".