3807117725617 has 16 divisors (see below), whose sum is σ = 3953512547280. Its totient is φ = 3661737856000.

The previous prime is 3807117725599. The next prime is 3807117725633. The reversal of 3807117725617 is 7165277117083.

It can be written as a sum of positive squares in 8 ways, for example, as 993762576 + 3806123963041 = 31524^2 + 1950929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3807117725617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30096333 + ... + 30222565.

It is an arithmetic number, because the mean of its divisors is an integer number (247094534205).

Almost surely, 2^{3807117725617} is an apocalyptic number.

It is an amenable number.

3807117725617 is a deficient number, since it is larger than the sum of its proper divisors (146394821663).

3807117725617 is a wasteful number, since it uses less digits than its factorization.

3807117725617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130244.

The product of its (nonzero) digits is 3457440, while the sum is 55.

The spelling of 3807117725617 in words is "three trillion, eight hundred seven billion, one hundred seventeen million, seven hundred twenty-five thousand, six hundred seventeen".