3681355617 has 24 divisors (see below), whose sum is σ = 5564269568. Its totient is φ = 2342520000.

The previous prime is 3681355577. The next prime is 3681355619. The reversal of 3681355617 is 7165531863.

3681355617 is a `hidden beast` number, since 3 + 6 + 81 + 3 + 5 + 561 + 7 = 666.

It is not a de Polignac number, because 3681355617 - 2⁸ = 3681355361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3681355619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70009 + ... + 110742.

Almost surely, 2^3681355617 is an apocalyptic number.

It is an amenable number.

3681355617 is a deficient number, since it is larger than the sum of its proper divisors (1882913951).

3681355617 is a wasteful number, since it uses less digits than its factorization.

3681355617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180861 (or 180858 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 3681355617 is about 60674.1758658492. The cubic root of 3681355617 is about 1544.0780788245.

The spelling of 3681355617 in words is "three billion, six hundred eighty-one million, three hundred fifty-five thousand, six hundred seventeen".