3328166593920 has 256 divisors, whose sum is σ = 12131849318400. Its totient is φ = 760233517056.

The previous prime is 3328166593907. The next prime is 3328166593943. The reversal of 3328166593920 is 293956618233.

It is a super-2 number, since 2×3328166593920² (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, 20981466 + ... + 21139494.

It is an arithmetic number, because the mean of its divisors is an integer number (47390036400).

Almost surely, 2^{3328166593920} is an apocalyptic number.

3328166593920 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 3328166593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065924659200).

3328166593920 is an abundant number, since it is smaller than the sum of its proper divisors (8803682724480).

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

3328166593920 is a wasteful number, since it uses less digits than its factorization.

3328166593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159625 (or 159613 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 3328166593920 in words is "three trillion, three hundred twenty-eight billion, one hundred sixty-six million, five hundred ninety-three thousand, nine hundred twenty".