3648913705369 has 9 divisors (see below), whose sum is σ = 3685594136349. Its totient is φ = 3612594825600.

The previous prime is 3648913705361. The next prime is 3648913705513. The reversal of 3648913705369 is 9635073198463.

The square root of 3648913705369 is 1910213.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3161692953225 + 487220752144 = 1778115^2 + 698012^2 .

It is not a de Polignac number, because 3648913705369 - 2³ = 3648913705361 is a prime.

It is a super-2 number, since 2×3648913705369² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3648913705369.

It is not an unprimeable number, because it can be changed into a prime (3648913705361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 192922057 + ... + 192940969.

Almost surely, 2^{3648913705369} is an apocalyptic number.

3648913705369 is the 1910213-rd square number.

3648913705369 is the 955107-th centered octagonal number.

It is an amenable number.

3648913705369 is a deficient number, since it is larger than the sum of its proper divisors (36680430980).

3648913705369 is an frugal number, since it uses more digits than its factorization.

3648913705369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38028 (or 19014 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 64.

Multiplying 3648913705369 by its sum of digits (64), we get a square (233530477143616 = 15281704²).

The spelling of 3648913705369 in words is "three trillion, six hundred forty-eight billion, nine hundred thirteen million, seven hundred five thousand, three hundred sixty-nine".