36764800 has 48 divisors (see below), whose sum is σ = 90828450. Its totient is φ = 14704640.

The previous prime is 36764789. The next prime is 36764801. The reversal of 36764800 is 846763.

It can be written as a sum of positive squares in 3 ways, for example, as 22202944 + 14561856 = 4712^2 + 3816^2 .

It is not an unprimeable number, because it can be changed into a prime (36764801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2545 + ... + 8944.

Almost surely, 2^36764800 is an apocalyptic number.

It is an amenable number.

36764800 is an abundant number, since it is smaller than the sum of its proper divisors (54063650).

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

36764800 is a wasteful number, since it uses less digits than its factorization.

36764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 36764800 is about 6063.3983870434. The cubic root of 36764800 is about 332.5146129594.

The spelling of 36764800 in words is "thirty-six million, seven hundred sixty-four thousand, eight hundred".