3321407096352 has 144 divisors (see below), whose sum is σ = 9943295281920. Its totient is φ = 1048767782400.

The previous prime is 3321407096327. The next prime is 3321407096387. The reversal of 3321407096352 is 2536907041233.

3321407096352 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 4 + 0 + 7 + 0 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3321407096352² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321407096298 and 3321407096307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78945402 + ... + 78987462.

It is an arithmetic number, because the mean of its divisors is an integer number (69050661680).

Almost surely, 2^{3321407096352} is an apocalyptic number.

3321407096352 is a gapful number since it is divisible by the number (32) 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 3321407096352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971647640960).

3321407096352 is an abundant number, since it is smaller than the sum of its proper divisors (6621888185568).

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

3321407096352 is a wasteful number, since it uses less digits than its factorization.

3321407096352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56527 (or 56516 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3321407096352 in words is "three trillion, three hundred twenty-one billion, four hundred seven million, ninety-six thousand, three hundred fifty-two".