38904 has 16 divisors (see below), whose sum is σ = 97320. Its totient is φ = 12960.

The previous prime is 38903. The next prime is 38917. The reversal of 38904 is 40983.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1621 = 38904 / (3 + 8 + 9 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 787 + ... + 834.

2³⁸⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

38904 is an abundant number, since it is smaller than the sum of its proper divisors (58416).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48660).

38904 is a wasteful number, since it uses less digits than its factorization.

38904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38904 is about 197.2409693750. The cubic root of 38904 is about 33.8842662432.

The spelling of 38904 in words is "thirty-eight thousand, nine hundred four".