388198944000 has 1728 divisors, whose sum is σ = 1733436536832. Its totient is φ = 81395712000.

The previous prime is 388198943971. The next prime is 388198944041. The reversal of 388198944000 is 449891883.

388198944000 is a `hidden beast` number, since 3 + 8 + 8 + 198 + 9 + 440 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1610783880 + ... + 1610784120.

It is an arithmetic number, because the mean of its divisors is an integer number (1003146144).

Almost surely, 2^388198944000 is an apocalyptic number.

388198944000 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 388198944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866718268416).

388198944000 is an abundant number, since it is smaller than the sum of its proper divisors (1345237592832).

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

388198944000 is a wasteful number, since it uses less digits than its factorization.

388198944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 388198944000 in words is "three hundred eighty-eight billion, one hundred ninety-eight million, nine hundred forty-four thousand".