388565100 has 540 divisors, whose sum is σ = 1616380920. Its totient is φ = 79833600.

The previous prime is 388565087. The next prime is 388565119. The reversal of 388565100 is 1565883.

388565100 is a `hidden beast` number, since 3 + 88 + 565 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4365856 + ... + 4365944.

It is an arithmetic number, because the mean of its divisors is an integer number (2993298).

Almost surely, 2^388565100 is an apocalyptic number.

388565100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388565100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808190460).

388565100 is an abundant number, since it is smaller than the sum of its proper divisors (1227815820).

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

388565100 is a wasteful number, since it uses less digits than its factorization.

388565100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 388565100 is about 19712.0546874241. The cubic root of 388565100 is about 729.7172233092.

It can be divided in two parts, 38856 and 5100, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 388565100 in words is "three hundred eighty-eight million, five hundred sixty-five thousand, one hundred".