3672171196681 has 135 divisors (see below), whose sum is σ = 4575262409081. Its totient is φ = 2946366398976.

The previous prime is 3672171196667. The next prime is 3672171196777. The reversal of 3672171196681 is 1866911712763.

It is a happy number.

The square root of 3672171196681 is 1916291.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2944364287225 + 727806909456 = 1715915^2 + 853116^2 .

It is not a de Polignac number, because 3672171196681 - 2¹³ = 3672171188489 is a prime.

It is a super-2 number, since 2×3672171196681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3672171196601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 126626592975 + ... + 126626593003.

Almost surely, 2^{3672171196681} is an apocalyptic number.

3672171196681 is the 1916291-st square number.

3672171196681 is the 958146-th centered octagonal number.

It is an amenable number.

3672171196681 is a deficient number, since it is larger than the sum of its proper divisors (903091212400).

3672171196681 is an frugal number, since it uses more digits than its factorization.

3672171196681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 82 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 58.

The spelling of 3672171196681 in words is "three trillion, six hundred seventy-two billion, one hundred seventy-one million, one hundred ninety-six thousand, six hundred eighty-one".