388680800 has 144 divisors (see below), whose sum is σ = 987124320. Its totient is φ = 149360640.

The previous prime is 388680791. The next prime is 388680829. The reversal of 388680800 is 8086883.

It is a happy number.

It is a congruent number.

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, 3773549 + ... + 3773651.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^388680800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493562160).

388680800 is an abundant number, since it is smaller than the sum of its proper divisors (598443520).

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

388680800 is a wasteful number, since it uses less digits than its factorization.

388680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 388680800 is about 19714.9892214021. The cubic root of 388680800 is about 729.7896435242.

The spelling of 388680800 in words is "three hundred eighty-eight million, six hundred eighty thousand, eight hundred".