390365812368 has 360 divisors, whose sum is σ = 1342590631200. Its totient is φ = 105279326208.

The previous prime is 390365812339. The next prime is 390365812373. The reversal of 390365812368 is 863218563093.

It is a happy number.

390365812368 is a `hidden beast` number, since 3 + 9 + 0 + 36 + 581 + 23 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37934968 + ... + 37945256.

It is an arithmetic number, because the mean of its divisors is an integer number (3729418420).

Almost surely, 2^390365812368 is an apocalyptic number.

390365812368 is a gapful number since it is divisible by the number (38) 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 390365812368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671295315600).

390365812368 is an abundant number, since it is smaller than the sum of its proper divisors (952224818832).

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

390365812368 is a wasteful number, since it uses less digits than its factorization.

390365812368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10619 (or 10603 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 390365812368 in words is "three hundred ninety billion, three hundred sixty-five million, eight hundred twelve thousand, three hundred sixty-eight".