374391679104 has 288 divisors, whose sum is σ = 1148883912540. Its totient is φ = 116997488640.

The previous prime is 374391679091. The next prime is 374391679157. The reversal of 374391679104 is 401976193473.

374391679104 is a `hidden beast` number, since 37 + 439 + 1 + 6 + 79 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 359568129600 + 14823549504 = 599640^2 + 121752^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40334944 + ... + 40344224.

Almost surely, 2^374391679104 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 374391679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574441956270).

374391679104 is an abundant number, since it is smaller than the sum of its proper divisors (774492233436).

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

374391679104 is a wasteful number, since it uses less digits than its factorization.

374391679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 374391679104 in words is "three hundred seventy-four billion, three hundred ninety-one million, six hundred seventy-nine thousand, one hundred four".