379034912256 has 960 divisors, whose sum is σ = 1389273414144. Its totient is φ = 89340641280.

The previous prime is 379034912203. The next prime is 379034912293. The reversal of 379034912256 is 652219430973.

It is a junction number, because it is equal to n+sod(n) for n = 379034912199 and 379034912208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1234641255 + ... + 1234641561.

Almost surely, 2^379034912256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379034912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694636707072).

379034912256 is an abundant number, since it is smaller than the sum of its proper divisors (1010238501888).

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

379034912256 is a wasteful number, since it uses less digits than its factorization.

379034912256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 379034912256 in words is "three hundred seventy-nine billion, thirty-four million, nine hundred twelve thousand, two hundred fifty-six".