390738243513600 has 864 divisors, whose sum is σ = 1495523717856000. Its totient is φ = 99637847654400.

The previous prime is 390738243513599. The next prime is 390738243513671. The reversal of 390738243513600 is 6315342837093.

390738243513600 is a `hidden beast` number, since 3 + 9 + 0 + 7 + 3 + 8 + 24 + 3 + 5 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16092333460 + ... + 16092357740.

It is an arithmetic number, because the mean of its divisors is an integer number (1730930229000).

It is a 1-persistent number, because it is pandigital, but 2⋅390738243513600 = 781476487027200 is not.

Almost surely, 2^{390738243513600} is an apocalyptic number.

390738243513600 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 390738243513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747761858928000).

390738243513600 is an abundant number, since it is smaller than the sum of its proper divisors (1104785474342400).

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

390738243513600 is a wasteful number, since it uses less digits than its factorization.

390738243513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28388 (or 28363 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 390738243513600 in words is "three hundred ninety trillion, seven hundred thirty-eight billion, two hundred forty-three million, five hundred thirteen thousand, six hundred".