38604 has 12 divisors (see below), whose sum is σ = 90104. Its totient is φ = 12864.

The previous prime is 38603. The next prime is 38609. The reversal of 38604 is 40683.

38604 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is not an unprimeable number, because it can be changed into a prime (38603) 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, 1597 + ... + 1620.

2³⁸⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

38604 is an abundant number, since it is smaller than the sum of its proper divisors (51500).

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 (45052).

38604 is a wasteful number, since it uses less digits than its factorization.

38604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38604 is about 196.4790065121. The cubic root of 38604 is about 33.7969442752.

Subtracting from 38604 its sum of digits (21), we obtain a palindrome (38583).

The spelling of 38604 in words is "thirty-eight thousand, six hundred four".