388232644800 has 2688 divisors, whose sum is σ = 1866780518400. Its totient is φ = 69363302400.

The previous prime is 388232644769. The next prime is 388232644801. The reversal of 388232644800 is 8446232883.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 388232644800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388232644801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4002398352 + ... + 4002398448.

It is an arithmetic number, because the mean of its divisors is an integer number (694486800).

Almost surely, 2^388232644800 is an apocalyptic number.

388232644800 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 388232644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933390259200).

388232644800 is an abundant number, since it is smaller than the sum of its proper divisors (1478547873600).

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

388232644800 is a wasteful number, since it uses less digits than its factorization.

388232644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 388232644800 in words is "three hundred eighty-eight billion, two hundred thirty-two million, six hundred forty-four thousand, eight hundred".