36788800 has 42 divisors (see below), whose sum is σ = 90527378. Its totient is φ = 14714880.

The previous prime is 36788789. The next prime is 36788813. The reversal of 36788800 is 888763.

It can be written as a sum of positive squares in 3 ways, for example, as 6230016 + 30558784 = 2496^2 + 5528^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9897 + ... + 13096.

Almost surely, 2^36788800 is an apocalyptic number.

It is an amenable number.

36788800 is an abundant number, since it is smaller than the sum of its proper divisors (53738578).

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

36788800 is a wasteful number, since it uses less digits than its factorization.

36788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23015 (or 23000 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 36788800 is about 6065.3771523294. The cubic root of 36788800 is about 332.5869522153.

The spelling of 36788800 in words is "thirty-six million, seven hundred eighty-eight thousand, eight hundred".