390357616352 has 96 divisors (see below), whose sum is σ = 860047372800. Its totient is φ = 172862233600.

The previous prime is 390357616351. The next prime is 390357616373. The reversal of 390357616352 is 253616753093.

It is a self number, because there is not a number n which added to its sum of digits gives 390357616352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390357616351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10357799 + ... + 10395417.

It is an arithmetic number, because the mean of its divisors is an integer number (8958826800).

Almost surely, 2^390357616352 is an apocalyptic number.

390357616352 is a gapful number since it is divisible by the number (32) 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 390357616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430023686400).

390357616352 is an abundant number, since it is smaller than the sum of its proper divisors (469689756448).

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

390357616352 is a wasteful number, since it uses less digits than its factorization.

390357616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38400 (or 38392 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 50.

The spelling of 390357616352 in words is "three hundred ninety billion, three hundred fifty-seven million, six hundred sixteen thousand, three hundred fifty-two".