3686595842601 has 63 divisors (see below), whose sum is σ = 6430425189741. Its totient is φ = 2106418830264.

The previous prime is 3686595842593. The next prime is 3686595842627. The reversal of 3686595842601 is 1062485956863.

It is a happy number.

The square root of 3686595842601 is 1920051.

It is a perfect power (a square), and thus also a powerful number.

3686595842601 is a `hidden beast` number, since 3 + 68 + 65 + 95 + 8 + 426 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 3686595842601 - 2³ = 3686595842593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3686595842651) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 362884560 + ... + 362894718.

It is an arithmetic number, because the mean of its divisors is an integer number (102070241107).

Almost surely, 2^{3686595842601} is an apocalyptic number.

3686595842601 is the 1920051-st square number.

3686595842601 is the 960026-th centered octagonal number.

It is an amenable number.

3686595842601 is a deficient number, since it is larger than the sum of its proper divisors (2743829347140).

3686595842601 is an frugal number, since it uses more digits than its factorization.

3686595842601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20350 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3686595842601 in words is "three trillion, six hundred eighty-six billion, five hundred ninety-five million, eight hundred forty-two thousand, six hundred one".