379145909520 has 960 divisors, whose sum is σ = 1602212451840. Its totient is φ = 78343372800.

The previous prime is 379145909509. The next prime is 379145909533. The reversal of 379145909520 is 25909541973.

379145909520 is a `hidden beast` number, since 3 + 79 + 1 + 45 + 9 + 0 + 9 + 520 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 822442090 + ... + 822442550.

It is an arithmetic number, because the mean of its divisors is an integer number (1668971304).

Almost surely, 2^379145909520 is an apocalyptic number.

379145909520 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 379145909520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801106225920).

379145909520 is an abundant number, since it is smaller than the sum of its proper divisors (1223066542320).

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

379145909520 is a wasteful number, since it uses less digits than its factorization.

379145909520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 379145909520 in words is "three hundred seventy-nine billion, one hundred forty-five million, nine hundred nine thousand, five hundred twenty".