3326083703712 has 864 divisors, whose sum is σ = 12539606526720. Its totient is φ = 816948633600.

The previous prime is 3326083703687. The next prime is 3326083703713. The reversal of 3326083703712 is 2173073806233.

3326083703712 is a `hidden beast` number, since 3 + 3 + 2 + 608 + 3 + 7 + 0 + 37 + 1 + 2 = 666.

It is a super-2 number, since 2×3326083703712² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3326083703713) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 499333662 + ... + 499340322.

It is an arithmetic number, because the mean of its divisors is an integer number (14513433480).

Almost surely, 2^{3326083703712} is an apocalyptic number.

3326083703712 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 3326083703712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269803263360).

3326083703712 is an abundant number, since it is smaller than the sum of its proper divisors (9213522823008).

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

3326083703712 is a wasteful number, since it uses less digits than its factorization.

3326083703712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3326083703712 in words is "three trillion, three hundred twenty-six billion, eighty-three million, seven hundred three thousand, seven hundred twelve".