3179968256000 has 384 divisors, whose sum is σ = 8224618409280. Its totient is φ = 1226244096000.

The previous prime is 3179968255987. The next prime is 3179968256011. The reversal of 3179968256000 is 6528699713.

It is a happy number.

It is a super-2 number, since 2×3179968256000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070334515 + ... + 1070337485.

Almost surely, 2^{3179968256000} 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 3179968256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112309204640).

3179968256000 is an abundant number, since it is smaller than the sum of its proper divisors (5044650153280).

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

3179968256000 is a wasteful number, since it uses less digits than its factorization.

3179968256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 3179968256000 in words is "three trillion, one hundred seventy-nine billion, nine hundred sixty-eight million, two hundred fifty-six thousand".