38624720 has 40 divisors (see below), whose sum is σ = 94532640. Its totient is φ = 14636160.

The previous prime is 38624717. The next prime is 38624749. The reversal of 38624720 is 2742683.

38624720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11186 + ... + 14225.

It is an arithmetic number, because the mean of its divisors is an integer number (2363316).

Almost surely, 2^38624720 is an apocalyptic number.

It is an amenable number.

38624720 is an abundant number, since it is smaller than the sum of its proper divisors (55907920).

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

38624720 is a wasteful number, since it uses less digits than its factorization.

38624720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25443 (or 25437 counting only the distinct ones).

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

The square root of 38624720 is about 6214.8789207836. The cubic root of 38624720 is about 338.0298982691.

The spelling of 38624720 in words is "thirty-eight million, six hundred twenty-four thousand, seven hundred twenty".