379907086891104 has 576 divisors, whose sum is σ = 1150373029478400. Its totient is φ = 118680855321600.

The previous prime is 379907086891039. The next prime is 379907086891141. The reversal of 379907086891104 is 401198680709973.

379907086891104 is a `hidden beast` number, since 379 + 9 + 0 + 7 + 0 + 8 + 68 + 91 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43078245607 + ... + 43078254425.

It is an arithmetic number, because the mean of its divisors is an integer number (1997175398400).

Almost surely, 2^{379907086891104} 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 379907086891104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575186514739200).

379907086891104 is an abundant number, since it is smaller than the sum of its proper divisors (770465942587296).

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

379907086891104 is a wasteful number, since it uses less digits than its factorization.

379907086891104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9559 (or 9548 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 379907086891104 in words is "three hundred seventy-nine trillion, nine hundred seven billion, eighty-six million, eight hundred ninety-one thousand, one hundred four".