388560000 has 160 divisors (see below), whose sum is σ = 1290524400. Its totient is φ = 103552000.

The previous prime is 388559987. The next prime is 388560031. The reversal of 388560000 is 65883.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 388560000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239191 + ... + 240809.

Almost surely, 2^388560000 is an apocalyptic number.

388560000 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 388560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645262200).

388560000 is an abundant number, since it is smaller than the sum of its proper divisors (901964400).

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

388560000 is an equidigital number, since it uses as much as digits as its factorization.

388560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 388560000 is about 19711.9253245339. The cubic root of 388560000 is about 729.7140307304.

The spelling of 388560000 in words is "three hundred eighty-eight million, five hundred sixty thousand".