38704 has 20 divisors (see below), whose sum is σ = 78120. Its totient is φ = 18560.

The previous prime is 38699. The next prime is 38707. The reversal of 38704 is 40783.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38704.

It is not an unprimeable number, because it can be changed into a prime (38707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 627 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2³⁸⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

38704 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (39060).

38704 is a wasteful number, since it uses less digits than its factorization.

38704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 38704 is about 196.7333220377. The cubic root of 38704 is about 33.8261017058.

The spelling of 38704 in words is "thirty-eight thousand, seven hundred four".