3321972792160 has 192 divisors, whose sum is σ = 8635364204544. Its totient is φ = 1197600768000.

The previous prime is 3321972792137. The next prime is 3321972792161. The reversal of 3321972792160 is 612972791233.

It is a super-2 number, since 2×3321972792160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321972792098 and 3321972792107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321972792161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357850879 + ... + 357860161.

It is an arithmetic number, because the mean of its divisors is an integer number (44975855232).

Almost surely, 2^{3321972792160} 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 3321972792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317682102272).

3321972792160 is an abundant number, since it is smaller than the sum of its proper divisors (5313391412384).

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

3321972792160 is a wasteful number, since it uses less digits than its factorization.

3321972792160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11037 (or 11029 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 3321972792160 in words is "three trillion, three hundred twenty-one billion, nine hundred seventy-two million, seven hundred ninety-two thousand, one hundred sixty".