3315256560 has 640 divisors, whose sum is σ = 14719057920. Its totient is φ = 665625600.

The previous prime is 3315256543. The next prime is 3315256601. The reversal of 3315256560 is 656525133.

3315256560 is a `hidden beast` number, since 3 + 31 + 5 + 2 + 565 + 60 = 666.

3315256560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5155599 + ... + 5156241.

It is an arithmetic number, because the mean of its divisors is an integer number (22998528).

Almost surely, 2^3315256560 is an apocalyptic number.

3315256560 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 3315256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359528960).

3315256560 is an abundant number, since it is smaller than the sum of its proper divisors (11403801360).

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

3315256560 is a wasteful number, since it uses less digits than its factorization.

3315256560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 3315256560 is about 57578.2646490844. The cubic root of 3315256560 is about 1491.0963748739.

The spelling of 3315256560 in words is "three billion, three hundred fifteen million, two hundred fifty-six thousand, five hundred sixty".