388288800 has 216 divisors, whose sum is σ = 1381161600. Its totient is φ = 102643200.

The previous prime is 388288781. The next prime is 388288811. The reversal of 388288800 is 8882883.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1432665 + ... + 1432935.

Almost surely, 2^388288800 is an apocalyptic number.

388288800 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 388288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690580800).

388288800 is an abundant number, since it is smaller than the sum of its proper divisors (992872800).

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

388288800 is a wasteful number, since it uses less digits than its factorization.

388288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 388288800 is about 19705.0450392786. The cubic root of 388288800 is about 729.5442204009.

The spelling of 388288800 in words is "three hundred eighty-eight million, two hundred eighty-eight thousand, eight hundred".