3685966092769 has 27 divisors (see below), whose sum is σ = 3847379917017. Its totient is φ = 3531179043168.

The previous prime is 3685966092737. The next prime is 3685966092791. The reversal of 3685966092769 is 9672906695863.

The square root of 3685966092769 is 1919887.

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

3685966092769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 393599390625 + 3292366702144 = 627375^2 + 1814488^2 .

It is not a de Polignac number, because 3685966092769 - 2⁵ = 3685966092737 is a prime.

It is a super-2 number, since 2×3685966092769² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3685966092695 and 3685966092704.

It is not an unprimeable number, because it can be changed into a prime (3685966012769) 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, 13306736659 + ... + 13306736935.

Almost surely, 2^{3685966092769} is an apocalyptic number.

3685966092769 is the 1919887-th square number.

3685966092769 is the 959944-th centered octagonal number.

It is an amenable number.

3685966092769 is a deficient number, since it is larger than the sum of its proper divisors (161413824248).

3685966092769 is an frugal number, since it uses more digits than its factorization.

3685966092769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 76.

The spelling of 3685966092769 in words is "three trillion, six hundred eighty-five billion, nine hundred sixty-six million, ninety-two thousand, seven hundred sixty-nine".