379756211013072 has 1600 divisors, whose sum is σ = 1252981543334400. Its totient is φ = 110472330608640.

The previous prime is 379756211012987. The next prime is 379756211013103. The reversal of 379756211013072 is 270310112657973.

379756211013072 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 5 + 621 + 1 + 0 + 1 + 3 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 347443925358 + ... + 347443926450.

It is an arithmetic number, because the mean of its divisors is an integer number (783113464584).

Almost surely, 2^{379756211013072} 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 379756211013072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626490771667200).

379756211013072 is an abundant number, since it is smaller than the sum of its proper divisors (873225332321328).

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

379756211013072 is a wasteful number, since it uses less digits than its factorization.

379756211013072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 379756211013072 in words is "three hundred seventy-nine trillion, seven hundred fifty-six billion, two hundred eleven million, thirteen thousand, seventy-two".