37904 has 20 divisors (see below), whose sum is σ = 77376. Its totient is φ = 17952.

The previous prime is 37897. The next prime is 37907. The reversal of 37904 is 40973.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 37904.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37904.

It is not an unprimeable number, because it can be changed into a prime (37907) 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, 317 + ... + 419.

2³⁷⁹⁰⁴ 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 37904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688).

37904 is an abundant number, since it is smaller than the sum of its proper divisors (39472).

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

37904 is a wasteful number, since it uses less digits than its factorization.

37904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 37904 is about 194.6894963782. The cubic root of 37904 is about 33.5914188215.

The spelling of 37904 in words is "thirty-seven thousand, nine hundred four".