390884153312 has 96 divisors (see below), whose sum is σ = 806449543200. Its totient is φ = 186297366528.

The previous prime is 390884153293. The next prime is 390884153357. The reversal of 390884153312 is 213351488093.

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 15 ways as a sum of consecutive naturals, for example, 46369514 + ... + 46377942.

It is an arithmetic number, because the mean of its divisors is an integer number (8400516075).

Almost surely, 2^390884153312 is an apocalyptic number.

390884153312 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 390884153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403224771600).

390884153312 is an abundant number, since it is smaller than the sum of its proper divisors (415565389888).

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

390884153312 is a wasteful number, since it uses less digits than its factorization.

390884153312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 390884153312 in words is "three hundred ninety billion, eight hundred eighty-four million, one hundred fifty-three thousand, three hundred twelve".