3111073729 has 15 divisors (see below), whose sum is σ = 3322729263. Its totient is φ = 2912898048.

The previous prime is 3111073711. The next prime is 3111073733. The reversal of 3111073729 is 9273701113.

The square root of 3111073729 is 55777.

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

It can be written as a sum of positive squares in 7 ways, for example, as 626250625 + 2484823104 = 25025^2 + 49848^2 .

It is not a de Polignac number, because 3111073729 - 2⁷ = 3111073601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3111073694 and 3111073703.

It is not an unprimeable number, because it can be changed into a prime (3111073739) 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 14 ways as a sum of consecutive naturals, for example, 16119457 + ... + 16119649.

Almost surely, 2^3111073729 is an apocalyptic number.

3111073729 is the 55777-th square number.

3111073729 is the 27889-th centered octagonal number.

It is an amenable number.

3111073729 is a deficient number, since it is larger than the sum of its proper divisors (211655534).

3111073729 is an frugal number, since it uses more digits than its factorization.

3111073729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The cubic root of 3111073729 is about 1459.8338662843.

The spelling of 3111073729 in words is "three billion, one hundred eleven million, seventy-three thousand, seven hundred twenty-nine".