388448256000 has 576 divisors, whose sum is σ = 1478738177280. Its totient is φ = 88709529600.

The previous prime is 388448255989. The next prime is 388448256041. The reversal of 388448256000 is 652844883.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 344063436 + ... + 344064564.

It is an arithmetic number, because the mean of its divisors is an integer number (2567253780).

Almost surely, 2^388448256000 is an apocalyptic number.

388448256000 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 388448256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739369088640).

388448256000 is an abundant number, since it is smaller than the sum of its proper divisors (1090289921280).

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

388448256000 is an frugal number, since it uses more digits than its factorization.

388448256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 388448256000 in words is "three hundred eighty-eight billion, four hundred forty-eight million, two hundred fifty-six thousand".