3892440947329 has 9 divisors (see below), whose sum is σ = 4278492003331. Its totient is φ = 3538562950120.

The previous prime is 3892440947281. The next prime is 3892440947389. The reversal of 3892440947329 is 9237490442983.

The square root of 3892440947329 is 1972927.

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., 3710920640625 + 181520306704 = 1926375^2 + 426052^2 .

It is not a de Polignac number, because 3892440947329 - 2¹³ = 3892440939137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3892440947389) 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, 21612519 + ... + 21791875.

Almost surely, 2^{3892440947329} is an apocalyptic number.

3892440947329 is the 1972927-th square number.

3892440947329 is the 986464-th centered octagonal number.

It is an amenable number.

3892440947329 is a deficient number, since it is larger than the sum of its proper divisors (386051056002).

3892440947329 is an frugal number, since it uses more digits than its factorization.

3892440947329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358736 (or 179368 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 64.

Multiplying 3892440947329 by its sum of digits (64), we get a square (249116220629056 = 15783416²).

The spelling of 3892440947329 in words is "three trillion, eight hundred ninety-two billion, four hundred forty million, nine hundred forty-seven thousand, three hundred twenty-nine".