3364616736 has 72 divisors (see below), whose sum is σ = 10304150220. Its totient is φ = 1035265536.

The previous prime is 3364616701. The next prime is 3364616753. The reversal of 3364616736 is 6376164633.

It can be written as a sum of positive squares in 2 ways, for example, as 2644016400 + 720600336 = 51420^2 + 26844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3364616736² = 22641291560342587392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3364616691 and 3364616700.

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, 445591 + ... + 453078.

Almost surely, 2^3364616736 is an apocalyptic number.

3364616736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3364616736 is an abundant number, since it is smaller than the sum of its proper divisors (6939533484).

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

3364616736 is a wasteful number, since it uses less digits than its factorization.

3364616736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898698 (or 898687 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 3364616736 is about 58005.3164459948. The cubic root of 3364616736 is about 1498.4601584663.

The spelling of 3364616736 in words is "three billion, three hundred sixty-four million, six hundred sixteen thousand, seven hundred thirty-six".