3360249306960 has 640 divisors, whose sum is σ = 13366520487936. Its totient is φ = 679411998720.

The previous prime is 3360249306881. The next prime is 3360249306979. The reversal of 3360249306960 is 696039420633.

It is a super-2 number, since 2×3360249306960² (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 127 ways as a sum of consecutive naturals, for example, 49739605 + ... + 49807115.

Almost surely, 2^{3360249306960} is an apocalyptic number.

3360249306960 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 3360249306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683260243968).

3360249306960 is an abundant number, since it is smaller than the sum of its proper divisors (10006271180976).

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

3360249306960 is a wasteful number, since it uses less digits than its factorization.

3360249306960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67643 (or 67637 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 51.

The spelling of 3360249306960 in words is "three trillion, three hundred sixty billion, two hundred forty-nine million, three hundred six thousand, nine hundred sixty".