389638800 has 90 divisors (see below), whose sum is σ = 1352167362. Its totient is φ = 103902720.

The previous prime is 389638771. The next prime is 389638801. The reversal of 389638800 is 8836983.

389638800 is a `hidden beast` number, since 3 + 8 + 9 + 638 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51667344 + 337971456 = 7188^2 + 18384^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (389638801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50517 + ... + 57716.

Almost surely, 2^389638800 is an apocalyptic number.

389638800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

389638800 is an abundant number, since it is smaller than the sum of its proper divisors (962528562).

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

389638800 is a wasteful number, since it uses less digits than its factorization.

389638800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108257 (or 108243 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 389638800 is about 19739.2705032380. The cubic root of 389638800 is about 730.3887339722.

The spelling of 389638800 in words is "three hundred eighty-nine million, six hundred thirty-eight thousand, eight hundred".