3393313560 has 640 divisors, whose sum is σ = 14884974720. Its totient is φ = 672841728.

The previous prime is 3393313529. The next prime is 3393313571. The reversal of 3393313560 is 653133933.

It is a happy number.

3393313560 is a `hidden beast` number, since 3 + 3 + 93 + 3 + 1 + 3 + 560 = 666.

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 159 ways as a sum of consecutive naturals, for example, 5011942 + ... + 5012618.

It is an arithmetic number, because the mean of its divisors is an integer number (23257773).

Almost surely, 2^3393313560 is an apocalyptic number.

3393313560 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 3393313560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442487360).

3393313560 is an abundant number, since it is smaller than the sum of its proper divisors (11491661160).

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

3393313560 is a wasteful number, since it uses less digits than its factorization.

3393313560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 36.

The square root of 3393313560 is about 58252.1549815970. The cubic root of 3393313560 is about 1502.7082273935.

The spelling of 3393313560 in words is "three billion, three hundred ninety-three million, three hundred thirteen thousand, five hundred sixty".