3688216543729 has 27 divisors (see below), whose sum is σ = 3946754389123. Its totient is φ = 3445912385792.

The previous prime is 3688216543673. The next prime is 3688216543741. The reversal of 3688216543729 is 9273456128863.

The square root of 3688216543729 is 1920473.

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

It can be written as a sum of positive squares in 13 ways, for example, as 305383338225 + 3382833205504 = 552615^2 + 1839248^2 .

It is not a de Polignac number, because 3688216543729 - 2²⁵ = 3688182989297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3688216543769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5648110767 + ... + 5648111419.

Almost surely, 2^{3688216543729} is an apocalyptic number.

3688216543729 is the 1920473-rd square number.

3688216543729 is the 960237-th centered octagonal number.

It is an amenable number.

3688216543729 is a deficient number, since it is larger than the sum of its proper divisors (258537845394).

3688216543729 is an frugal number, since it uses more digits than its factorization.

3688216543729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 843 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 64.

Multiplying 3688216543729 by its sum of digits (64), we get a square (236045858798656 = 15363784²).

The spelling of 3688216543729 in words is "three trillion, six hundred eighty-eight billion, two hundred sixteen million, five hundred forty-three thousand, seven hundred twenty-nine".