379070088408 has 256 divisors, whose sum is σ = 1195579699200. Its totient is φ = 111161635200.

The previous prime is 379070088289. The next prime is 379070088409. The reversal of 379070088408 is 804880070973.

379070088408 is a `hidden beast` number, since 3 + 7 + 90 + 70 + 0 + 88 + 408 = 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 (379070088409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8891110 + ... + 8933642.

It is an arithmetic number, because the mean of its divisors is an integer number (4670233200).

Almost surely, 2^379070088408 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 379070088408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597789849600).

379070088408 is an abundant number, since it is smaller than the sum of its proper divisors (816509610792).

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

379070088408 is a wasteful number, since it uses less digits than its factorization.

379070088408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42612 (or 42580 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 379070088408 in words is "three hundred seventy-nine billion, seventy million, eighty-eight thousand, four hundred eight".