38764400 has 30 divisors (see below), whose sum is σ = 93132432. Its totient is φ = 15505600.

The previous prime is 38764381. The next prime is 38764441. The reversal of 38764400 is 446783.

It is a happy number.

It is a congruent number.

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, 48056 + ... + 48855.

Almost surely, 2^38764400 is an apocalyptic number.

It is an amenable number.

38764400 is an abundant number, since it is smaller than the sum of its proper divisors (54368032).

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

38764400 is a wasteful number, since it uses less digits than its factorization.

38764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96929 (or 96918 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38764400 is about 6226.1063273927. The cubic root of 38764400 is about 338.4368847268.

The spelling of 38764400 in words is "thirty-eight million, seven hundred sixty-four thousand, four hundred".