379076092128 has 192 divisors, whose sum is σ = 1112578790400. Its totient is φ = 125568092160.

The previous prime is 379076092123. The next prime is 379076092177. The reversal of 379076092128 is 821290670973.

379076092128 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 7 + 609 + 2 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379076092123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101382483 + ... + 101386221.

It is an arithmetic number, because the mean of its divisors is an integer number (5794681200).

Almost surely, 2^379076092128 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 379076092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556289395200).

379076092128 is an abundant number, since it is smaller than the sum of its proper divisors (733502698272).

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

379076092128 is a wasteful number, since it uses less digits than its factorization.

379076092128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 379076092128 in words is "three hundred seventy-nine billion, seventy-six million, ninety-two thousand, one hundred twenty-eight".