3313085568 has 256 divisors, whose sum is σ = 9943449600. Its totient is φ = 970444800.

The previous prime is 3313085549. The next prime is 3313085569. The reversal of 3313085568 is 8655803133.

It is not an unprimeable number, because it can be changed into a prime (3313085569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12225273 + ... + 12225543.

It is an arithmetic number, because the mean of its divisors is an integer number (38841600).

Almost surely, 2^3313085568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971724800).

3313085568 is an abundant number, since it is smaller than the sum of its proper divisors (6630364032).

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

3313085568 is a wasteful number, since it uses less digits than its factorization.

3313085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3313085568 is about 57559.4090310177. The cubic root of 3313085568 is about 1490.7708228776.

The spelling of 3313085568 in words is "three billion, three hundred thirteen million, eighty-five thousand, five hundred sixty-eight".