3307997952960 has 448 divisors, whose sum is σ = 11539219886208. Its totient is φ = 799461605376.

The previous prime is 3307997952899. The next prime is 3307997953009. The reversal of 3307997952960 is 692597997033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58544242 + ... + 58600718.

It is an arithmetic number, because the mean of its divisors is an integer number (25757187246).

Almost surely, 2^{3307997952960} is an apocalyptic number.

3307997952960 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 3307997952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769609943104).

3307997952960 is an abundant number, since it is smaller than the sum of its proper divisors (8231221933248).

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

3307997952960 is a wasteful number, since it uses less digits than its factorization.

3307997952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56648 (or 56638 counting only the distinct ones).

The product of its (nonzero) digits is 173604060, while the sum is 69.

The spelling of 3307997952960 in words is "three trillion, three hundred seven billion, nine hundred ninety-seven million, nine hundred fifty-two thousand, nine hundred sixty".