3313616560 has 80 divisors (see below), whose sum is σ = 8139657600. Its totient is φ = 1252471808.

The previous prime is 3313616543. The next prime is 3313616627. The reversal of 3313616560 is 656163133.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 93846 + ... + 124234.

It is an arithmetic number, because the mean of its divisors is an integer number (101745720).

Almost surely, 2^3313616560 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 3313616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069828800).

3313616560 is an abundant number, since it is smaller than the sum of its proper divisors (4826041040).

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

3313616560 is a wasteful number, since it uses less digits than its factorization.

3313616560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30478 (or 30472 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 3313616560 is about 57564.0214022613. The cubic root of 3313616560 is about 1490.8504611361.

Adding to 3313616560 its reverse (656163133), we get a palindrome (3969779693).

The spelling of 3313616560 in words is "three billion, three hundred thirteen million, six hundred sixteen thousand, five hundred sixty".