3972212427681 has 45 divisors (see below), whose sum is σ = 6020480810113. Its totient is φ = 2610006771960.

The previous prime is 3972212427607. The next prime is 3972212427737. The reversal of 3972212427681 is 1867242122793.

The square root of 3972212427681 is 1993041.

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

3972212427681 is a `hidden beast` number, since 39 + 7 + 221 + 242 + 76 + 81 = 666.

It is not a de Polignac number, because 3972212427681 - 2¹³ = 3972212419489 is a prime.

It is a super-2 number, since 2×3972212427681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3972212420681) 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 44 ways as a sum of consecutive naturals, for example, 1273551640 + ... + 1273554758.

Almost surely, 2^{3972212427681} is an apocalyptic number.

3972212427681 is the 1993041-st square number.

3972212427681 is the 996521-st centered octagonal number.

It is an amenable number.

3972212427681 is a deficient number, since it is larger than the sum of its proper divisors (2048268382432).

3972212427681 is an frugal number, since it uses more digits than its factorization.

3972212427681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 3193 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 3972212427681 in words is "three trillion, nine hundred seventy-two billion, two hundred twelve million, four hundred twenty-seven thousand, six hundred eighty-one".