3872122708441 has 27 divisors (see below), whose sum is σ = 4310327980413. Its totient is φ = 3476815224480.

The previous prime is 3872122708393. The next prime is 3872122708469. The reversal of 3872122708441 is 1448072212783.

The square root of 3872122708441 is 1967771.

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 16083566041 + 3856039142400 = 126821^2 + 1963680^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3872122708441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3872122708471) 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 26 ways as a sum of consecutive naturals, for example, 946495806 + ... + 946499896.

Almost surely, 2^{3872122708441} is an apocalyptic number.

3872122708441 is the 1967771-st square number.

3872122708441 is the 983886-th centered octagonal number.

It is an amenable number.

3872122708441 is a deficient number, since it is larger than the sum of its proper divisors (438205271972).

3872122708441 is an frugal number, since it uses more digits than its factorization.

3872122708441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

Multiplying 3872122708441 by its sum of digits (49), we get a square (189734012713609 = 13774397²).

The spelling of 3872122708441 in words is "three trillion, eight hundred seventy-two billion, one hundred twenty-two million, seven hundred eight thousand, four hundred forty-one".