38400576 has 28 divisors (see below), whose sum is σ = 101602032. Its totient is φ = 12800128.

The previous prime is 38400521. The next prime is 38400587. The reversal of 38400576 is 67500483.

38400576 is a modest number, since divided by 576 gives 384 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99810 + ... + 100193.

It is an arithmetic number, because the mean of its divisors is an integer number (3628644).

Almost surely, 2^38400576 is an apocalyptic number.

It is an amenable number.

38400576 is an abundant number, since it is smaller than the sum of its proper divisors (63201456).

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

38400576 is a wasteful number, since it uses less digits than its factorization.

38400576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200018 (or 200008 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 38400576 is about 6196.8198295577. The cubic root of 38400576 is about 337.3747529776.

The spelling of 38400576 in words is "thirty-eight million, four hundred thousand, five hundred seventy-six".