3365600864256 has 144 divisors (see below), whose sum is σ = 9722996910900. Its totient is φ = 1121575698432.

The previous prime is 3365600864239. The next prime is 3365600864279. The reversal of 3365600864256 is 6524680065633.

3365600864256 is a `hidden beast` number, since 3 + 3 + 6 + 5 + 600 + 8 + 6 + 4 + 25 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2815630304256 + 549970560000 = 1677984^2 + 741600^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3365600864256² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77927340 + ... + 77970516.

Almost surely, 2^{3365600864256} is an apocalyptic number.

3365600864256 is a gapful number since it is divisible by the number (36) 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 3365600864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861498455450).

3365600864256 is an abundant number, since it is smaller than the sum of its proper divisors (6357396046644).

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

3365600864256 is a wasteful number, since it uses less digits than its factorization.

3365600864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47434 (or 47411 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 3365600864256 in words is "three trillion, three hundred sixty-five billion, six hundred million, eight hundred sixty-four thousand, two hundred fifty-six".