38400864 has 24 divisors (see below), whose sum is σ = 100802520. Its totient is φ = 12800256.

The previous prime is 38400853. The next prime is 38400889. The reversal of 38400864 is 46800483.

It is a tau number, because it is divible by the number of its divisors (24).

38400864 is a modest number, since divided by 864 gives 384 as remainder.

It is a congruent number.

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, 199909 + ... + 200100.

It is an arithmetic number, because the mean of its divisors is an integer number (4200105).

Almost surely, 2^38400864 is an apocalyptic number.

It is an amenable number.

38400864 is an abundant number, since it is smaller than the sum of its proper divisors (62401656).

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

38400864 is a wasteful number, since it uses less digits than its factorization.

38400864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400022 (or 400014 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38400864 is about 6196.8430672400. The cubic root of 38400864 is about 337.3755963997.

It can be divided in two parts, 38400 and 864, that multiplied together give a square (33177600 = 5760²).

The spelling of 38400864 in words is "thirty-eight million, four hundred thousand, eight hundred sixty-four".