3712586761 has 27 divisors (see below), whose sum is σ = 4153910229. Its totient is φ = 3316596192.

The previous prime is 3712586671. The next prime is 3712586783. The reversal of 3712586761 is 1676852173.

The square root of 3712586761 is 60931.

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 129846025 + 3582740736 = 11395^2 + 59856^2 .

It is not a de Polignac number, because 3712586761 - 2⁹ = 3712586249 is a prime.

It is a super-2 number, since 2×3712586761² = 27566600915904942242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3712586261) 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, 34060375 + ... + 34060483.

It is an arithmetic number, because the mean of its divisors is an integer number (153848527).

Almost surely, 2^3712586761 is an apocalyptic number.

3712586761 is the 60931-st square number.

3712586761 is the 30466-th centered octagonal number.

It is an amenable number.

3712586761 is a deficient number, since it is larger than the sum of its proper divisors (441323468).

3712586761 is an equidigital number, since it uses as much as digits as its factorization.

3712586761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The cubic root of 3712586761 is about 1548.4322352664.

The spelling of 3712586761 in words is "three billion, seven hundred twelve million, five hundred eighty-six thousand, seven hundred sixty-one".