3657951361 has 9 divisors (see below), whose sum is σ = 3781694529. Its totient is φ = 3538138500.

The previous prime is 3657951347. The next prime is 3657951377. The reversal of 3657951361 is 1631597563.

The square root of 3657951361 is 60481.

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

It is not a de Polignac number, because 3657951361 - 2⁵ = 3657951329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3657951301) 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, 1873936 + ... + 1875886.

It is an arithmetic number, because the mean of its divisors is an integer number (420188281).

Almost surely, 2^3657951361 is an apocalyptic number.

3657951361 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3657951361 is the 60481-st square number.

3657951361 is the 30241-st centered octagonal number.

It is an amenable number.

3657951361 is a deficient number, since it is larger than the sum of its proper divisors (123743168).

3657951361 is an frugal number, since it uses more digits than its factorization.

3657951361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 1982 counting only the distinct ones).

The product of its digits is 510300, while the sum is 46.

The cubic root of 3657951361 is about 1540.7989558952.

The spelling of 3657951361 in words is "three billion, six hundred fifty-seven million, nine hundred fifty-one thousand, three hundred sixty-one".