3972937927729 has 9 divisors (see below), whose sum is σ = 4059362764587. Its totient is φ = 3888315645264.

The previous prime is 3972937927687. The next prime is 3972937927741. The reversal of 3972937927729 is 9277297392793.

The square root of 3972937927729 is 1993223.

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

It can be written as a sum of positive squares in only one way, i.e., 2738439161329 + 1234498766400 = 1654823^2 + 1111080^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3972937927729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3972937987729) 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, 93660277 + ... + 93702685.

Almost surely, 2^{3972937927729} is an apocalyptic number.

3972937927729 is the 1993223-rd square number.

3972937927729 is the 996612-nd centered octagonal number.

It is an amenable number.

3972937927729 is a deficient number, since it is larger than the sum of its proper divisors (86424836858).

3972937927729 is an frugal number, since it uses more digits than its factorization.

3972937927729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84912 (or 42456 counting only the distinct ones).

The product of its digits is 1134213192, while the sum is 76.

The spelling of 3972937927729 in words is "three trillion, nine hundred seventy-two billion, nine hundred thirty-seven million, nine hundred twenty-seven thousand, seven hundred twenty-nine".