388684800 has 396 divisors, whose sum is σ = 1597085776. Its totient is φ = 88473600.

The previous prime is 388684781. The next prime is 388684801. The reversal of 388684800 is 8486883.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388684801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612680 + ... + 1612920.

Almost surely, 2^388684800 is an apocalyptic number.

388684800 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 388684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798542888).

388684800 is an abundant number, since it is smaller than the sum of its proper divisors (1208400976).

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

388684800 is a wasteful number, since it uses less digits than its factorization.

388684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 388684800 is about 19715.0906667963. The cubic root of 388684800 is about 729.7921469911.

The spelling of 388684800 in words is "three hundred eighty-eight million, six hundred eighty-four thousand, eight hundred".