388764 has 18 divisors (see below), whose sum is σ = 982800. Its totient is φ = 129576.

The previous prime is 388757. The next prime is 388777. The reversal of 388764 is 467883.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×388764² = 302274895392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10799 = 388764 / (3 + 8 + 8 + 7 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5364 + ... + 5435.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2³⁸⁸⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

388764 is an abundant number, since it is smaller than the sum of its proper divisors (594036).

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

388764 is a wasteful number, since it uses less digits than its factorization.

388764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10809 (or 10804 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 388764 is about 623.5094225431. The cubic root of 388764 is about 72.9841712099.

The spelling of 388764 in words is "three hundred eighty-eight thousand, seven hundred sixty-four".