3411892931161 has 27 divisors (see below), whose sum is σ = 4061249520573. Its totient is φ = 2862905279520.

The previous prime is 3411892931149. The next prime is 3411892931189. The reversal of 3411892931161 is 1611392981143.

The square root of 3411892931161 is 1847131.

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 386658868761 + 3025234062400 = 621819^2 + 1739320^2 .

It is not a de Polignac number, because 3411892931161 - 2⁷ = 3411892931033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3411892931261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 264133275 + ... + 264146191.

Almost surely, 2^{3411892931161} is an apocalyptic number.

3411892931161 is the 1847131-st square number.

3411892931161 is the 923566-th centered octagonal number.

It is an amenable number.

3411892931161 is a deficient number, since it is larger than the sum of its proper divisors (649356589412).

3411892931161 is an frugal number, since it uses more digits than its factorization.

3411892931161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25882 (or 12941 counting only the distinct ones).

The product of its digits is 279936, while the sum is 49.

Multiplying 3411892931161 by its sum of digits (49), we get a square (167182753626889 = 12929917²).

The spelling of 3411892931161 in words is "three trillion, four hundred eleven billion, eight hundred ninety-two million, nine hundred thirty-one thousand, one hundred sixty-one".