388100400 has 120 divisors (see below), whose sum is σ = 1276961424. Its totient is φ = 100684800.

The previous prime is 388100399. The next prime is 388100423. The reversal of 388100400 is 4001883.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40030 + ... + 48770.

Almost surely, 2^388100400 is an apocalyptic number.

388100400 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 388100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638480712).

388100400 is an abundant number, since it is smaller than the sum of its proper divisors (888861024).

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

388100400 is a wasteful number, since it uses less digits than its factorization.

388100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 388100400 is about 19700.2639576225. The cubic root of 388100400 is about 729.4262082692.

The spelling of 388100400 in words is "three hundred eighty-eight million, one hundred thousand, four hundred".