38004864 has 64 divisors (see below), whose sum is σ = 106284000. Its totient is φ = 11999232.

The previous prime is 38004859. The next prime is 38004871. The reversal of 38004864 is 46840083.

It is a tau number, because it is divible by the number of its divisors (64).

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, 4692 + ... + 9900.

Almost surely, 2^38004864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53142000).

38004864 is an abundant number, since it is smaller than the sum of its proper divisors (68279136).

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

38004864 is a wasteful number, since it uses less digits than its factorization.

38004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5233 counting only the distinct ones).

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

The square root of 38004864 is about 6164.8085128413. The cubic root of 38004864 is about 336.2118844963.

The spelling of 38004864 in words is "thirty-eight million, four thousand, eight hundred sixty-four".