3317413320 has 640 divisors, whose sum is σ = 13139612640. Its totient is φ = 743178240.

The previous prime is 3317413313. The next prime is 3317413369. The reversal of 3317413320 is 233147133.

3317413320 is a `hidden beast` number, since 331 + 7 + 4 + 1 + 3 + 320 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 356529924 + 2960883396 = 18882^2 + 54414^2 .

It is a super-2 number, since 2×3317413320² = 22010462271426844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29357584 + ... + 29357696.

Almost surely, 2^3317413320 is an apocalyptic number.

3317413320 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 3317413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569806320).

3317413320 is an abundant number, since it is smaller than the sum of its proper divisors (9822199320).

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

3317413320 is a wasteful number, since it uses less digits than its factorization.

3317413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3317413320 is about 57596.9905463818. The cubic root of 3317413320 is about 1491.4196520049.

The spelling of 3317413320 in words is "three billion, three hundred seventeen million, four hundred thirteen thousand, three hundred twenty".