38764 has 12 divisors (see below), whose sum is σ = 74088. Its totient is φ = 17600.

The previous prime is 38749. The next prime is 38767. The reversal of 38764 is 46783.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38767) 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, 397 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

2³⁸⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

38764 is a deficient number, since it is larger than the sum of its proper divisors (35324).

38764 is a wasteful number, since it uses less digits than its factorization.

38764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 38764 is about 196.8857536746. The cubic root of 38764 is about 33.8435720641.

The spelling of 38764 in words is "thirty-eight thousand, seven hundred sixty-four".