3307446816960 has 1792 divisors, whose sum is σ = 13657607147520. Its totient is φ = 666107904000.

The previous prime is 3307446816943. The next prime is 3307446816979. The reversal of 3307446816960 is 696186447033.

It is a self number, because there is not a number n which added to its sum of digits gives 3307446816960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3754195720 + ... + 3754196600.

It is an arithmetic number, because the mean of its divisors is an integer number (7621432560).

Almost surely, 2^{3307446816960} is an apocalyptic number.

3307446816960 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 3307446816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828803573760).

3307446816960 is an abundant number, since it is smaller than the sum of its proper divisors (10350160330560).

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

3307446816960 is a wasteful number, since it uses less digits than its factorization.

3307446816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 3307446816960 in words is "three trillion, three hundred seven billion, four hundred forty-six million, eight hundred sixteen thousand, nine hundred sixty".