388945785600 has 324 divisors, whose sum is σ = 1399932534000. Its totient is φ = 103020503040.

The previous prime is 388945785587. The next prime is 388945785601. The reversal of 388945785600 is 6587549883.

388945785600 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 4 + 578 + 56 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (388945785601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8559741 + ... + 8605059.

Almost surely, 2^388945785600 is an apocalyptic number.

388945785600 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 388945785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699966267000).

388945785600 is an abundant number, since it is smaller than the sum of its proper divisors (1010986748400).

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

388945785600 is a wasteful number, since it uses less digits than its factorization.

388945785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45500 (or 45478 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 388945785600 in words is "three hundred eighty-eight billion, nine hundred forty-five million, seven hundred eighty-five thousand, six hundred".