38966304 has 48 divisors (see below), whose sum is σ = 110158272. Its totient is φ = 11989248.

The previous prime is 38966281. The next prime is 38966311. The reversal of 38966304 is 40366983.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14364 + ... + 16859.

It is an arithmetic number, because the mean of its divisors is an integer number (2294964).

Almost surely, 2^38966304 is an apocalyptic number.

It is an amenable number.

38966304 is an abundant number, since it is smaller than the sum of its proper divisors (71191968).

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

38966304 is a wasteful number, since it uses less digits than its factorization.

38966304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31249 (or 31241 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 38966304 is about 6242.2995762780. The cubic root of 38966304 is about 339.0234492703.

The spelling of 38966304 in words is "thirty-eight million, nine hundred sixty-six thousand, three hundred four".