3696825280369 has 45 divisors (see below), whose sum is σ = 4149547046541. Its totient is φ = 3293376643440.

The previous prime is 3696825280361. The next prime is 3696825280391. The reversal of 3696825280369 is 9630825286963.

The square root of 3696825280369 is 1922713.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1832945022769 + 1863880257600 = 1353863^2 + 1365240^2 .

It is not a de Polignac number, because 3696825280369 - 2³ = 3696825280361 is a prime.

It is a super-2 number, since 2×3696825280369² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3696825280361) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10073093224 + ... + 10073093590.

Almost surely, 2^{3696825280369} is an apocalyptic number.

3696825280369 is the 1922713-rd square number.

3696825280369 is the 961357-th centered octagonal number.

It is an amenable number.

3696825280369 is a deficient number, since it is larger than the sum of its proper divisors (452721766172).

3696825280369 is an frugal number, since it uses more digits than its factorization.

3696825280369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 67.

The spelling of 3696825280369 in words is "three trillion, six hundred ninety-six billion, eight hundred twenty-five million, two hundred eighty thousand, three hundred sixty-nine".