388300800 has 204 divisors, whose sum is σ = 1300224320. Its totient is φ = 102236160.

The previous prime is 388300799. The next prime is 388300813. The reversal of 388300800 is 8003883.

It is a super-2 number, since 2×388300800² = 301555022561280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4915161 + ... + 4915239.

Almost surely, 2^388300800 is an apocalyptic number.

388300800 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 388300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650112160).

388300800 is an abundant number, since it is smaller than the sum of its proper divisors (911923520).

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

388300800 is an frugal number, since it uses more digits than its factorization.

388300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 388300800 is about 19705.3495274760. The cubic root of 388300800 is about 729.5517358039.

The spelling of 388300800 in words is "three hundred eighty-eight million, three hundred thousand, eight hundred".