3617904008225 has 18 divisors (see below), whose sum is σ = 4857838926066. Its totient is φ = 2671682956800.

The previous prime is 3617904008203. The next prime is 3617904008237. The reversal of 3617904008225 is 5228004097163.

It can be written as a sum of positive squares in 9 ways, for example, as 3364040193424 + 253863814801 = 1834132^2 + 503849^2 .

It is not a de Polignac number, because 3617904008225 - 2²⁴ = 3617887231009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3617904008225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 428150096 + ... + 428158545.

It is an arithmetic number, because the mean of its divisors is an integer number (269879940337).

It is a 1-persistent number, because it is pandigital, but 2⋅3617904008225 = 7235808016450 is not.

Almost surely, 2^{3617904008225} is an apocalyptic number.

It is an amenable number.

3617904008225 is a deficient number, since it is larger than the sum of its proper divisors (1239934917841).

3617904008225 is a wasteful number, since it uses less digits than its factorization.

3617904008225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856308677 (or 856308659 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 3617904008225 in words is "three trillion, six hundred seventeen billion, nine hundred four million, eight thousand, two hundred twenty-five".