3365314560 has 448 divisors, whose sum is σ = 12739420800. Its totient is φ = 839909376.

The previous prime is 3365314549. The next prime is 3365314567. The reversal of 3365314560 is 654135633.

3365314560 is a `hidden beast` number, since 3 + 3 + 65 + 31 + 4 + 560 = 666.

It is a super-2 number, since 2×3365314560² = 22650684175495987200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3365314567) 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, 18800551 + ... + 18800729.

Almost surely, 2^3365314560 is an apocalyptic number.

3365314560 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 3365314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369710400).

3365314560 is an abundant number, since it is smaller than the sum of its proper divisors (9374106240).

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

3365314560 is a wasteful number, since it uses less digits than its factorization.

3365314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3365314560 is about 58011.3313069093. The cubic root of 3365314560 is about 1498.5637452204.

The spelling of 3365314560 in words is "three billion, three hundred sixty-five million, three hundred fourteen thousand, five hundred sixty".