3115984041 has 27 divisors (see below), whose sum is σ = 4710886999. Its totient is φ = 1984548192.

The previous prime is 3115983931. The next prime is 3115984061. The reversal of 3115984041 is 1404895113.

The square root of 3115984041 is 55821.

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

3115984041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2742721641 + 373262400 = 52371^2 + 19320^2 .

It is not a de Polignac number, because 3115984041 - 2¹⁷ = 3115852969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3115983987 and 3115984005.

It is not an unprimeable number, because it can be changed into a prime (3115984061) 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, 3851245 + ... + 3852053.

Almost surely, 2^3115984041 is an apocalyptic number.

3115984041 is the 55821-st square number.

3115984041 is the 27911-st centered octagonal number.

It is an amenable number.

3115984041 is a deficient number, since it is larger than the sum of its proper divisors (1594902958).

3115984041 is an frugal number, since it uses more digits than its factorization.

3115984041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 3115984041 is about 1460.6014974826.

Multiplying 3115984041 by its sum of digits (36), we get a square (112175425476 = 334926²).

The spelling of 3115984041 in words is "three billion, one hundred fifteen million, nine hundred eighty-four thousand, forty-one".