3688688995216 has 135 divisors (see below), whose sum is σ = 7763516886321. Its totient is φ = 1697561027712.

The previous prime is 3688688995181. The next prime is 3688688995219. The reversal of 3688688995216 is 6125998868863.

It is a happy number.

The square root of 3688688995216 is 1920596.

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

It can be written as a sum of positive squares in only one way, i.e., 3300689568400 + 387999426816 = 1816780^2 + 622896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3688688995219) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5400715611 + ... + 5400716293.

Almost surely, 2^{3688688995216} is an apocalyptic number.

3688688995216 is the 1920596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688688995216

3688688995216 is an abundant number, since it is smaller than the sum of its proper divisors (4074827891105).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3688688995216 is an frugal number, since it uses more digits than its factorization.

3688688995216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 741 counting only the distinct ones).

The product of its digits is 2149908480, while the sum is 79.

The spelling of 3688688995216 in words is "three trillion, six hundred eighty-eight billion, six hundred eighty-eight million, nine hundred ninety-five thousand, two hundred sixteen".