379570311120 has 2160 divisors, whose sum is σ = 1745413536384. Its totient is φ = 67556966400.

The previous prime is 379570311079. The next prime is 379570311139. The reversal of 379570311120 is 21113075973.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 431 ways as a sum of consecutive naturals, for example, 5346060685 + ... + 5346060755.

Almost surely, 2^379570311120 is an apocalyptic number.

379570311120 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 379570311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872706768192).

379570311120 is an abundant number, since it is smaller than the sum of its proper divisors (1365843225264).

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

379570311120 is a wasteful number, since it uses less digits than its factorization.

379570311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The spelling of 379570311120 in words is "three hundred seventy-nine billion, five hundred seventy million, three hundred eleven thousand, one hundred twenty".