3166379284320 has 2304 divisors, whose sum is σ = 14214590208000. Its totient is φ = 624588226560.

The previous prime is 3166379284319. The next prime is 3166379284333. The reversal of 3166379284320 is 234829736613.

3166379284320 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 37 + 9 + 284 + 320 = 666.

3166379284320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21250867606 + ... + 21250867754.

It is an arithmetic number, because the mean of its divisors is an integer number (6169527000).

Almost surely, 2^{3166379284320} is an apocalyptic number.

3166379284320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3166379284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7107295104000).

3166379284320 is an abundant number, since it is smaller than the sum of its proper divisors (11048210923680).

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

3166379284320 is a wasteful number, since it uses less digits than its factorization.

3166379284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3166379284320 in words is "three trillion, one hundred sixty-six billion, three hundred seventy-nine million, two hundred eighty-four thousand, three hundred twenty".