3727289723161 has 9 divisors (see below), whose sum is σ = 3808373792799. Its totient is φ = 3647896878024.

The previous prime is 3727289723117. The next prime is 3727289723167. The reversal of 3727289723161 is 1613279827273.

The square root of 3727289723161 is 1930619.

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., 3485969055625 + 241320667536 = 1867075^2 + 491244^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3727289723161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3727289723096 and 3727289723105.

It is not an unprimeable number, because it can be changed into a prime (3727289723167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90718555 + ... + 90759631.

Almost surely, 2^{3727289723161} is an apocalyptic number.

3727289723161 is the 1930619-th square number.

3727289723161 is the 965310-th centered octagonal number.

It is an amenable number.

3727289723161 is a deficient number, since it is larger than the sum of its proper divisors (81084069638).

3727289723161 is an frugal number, since it uses more digits than its factorization.

3727289723161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82248 (or 41124 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 58.

The spelling of 3727289723161 in words is "three trillion, seven hundred twenty-seven billion, two hundred eighty-nine million, seven hundred twenty-three thousand, one hundred sixty-one".