388329830400 has 576 divisors, whose sum is σ = 1371152240640. Its totient is φ = 96613171200.

The previous prime is 388329830359. The next prime is 388329830423. The reversal of 388329830400 is 4038923883.

It is a happy number.

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 388329830400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331621815 + ... + 331622985.

It is an arithmetic number, because the mean of its divisors is an integer number (2380472640).

Almost surely, 2^388329830400 is an apocalyptic number.

388329830400 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 388329830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685576120320).

388329830400 is an abundant number, since it is smaller than the sum of its proper divisors (982822410240).

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

388329830400 is a wasteful number, since it uses less digits than its factorization.

388329830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 388329830400 in words is "three hundred eighty-eight billion, three hundred twenty-nine million, eight hundred thirty thousand, four hundred".