3972757971 has 32 divisors (see below), whose sum is σ = 6545484288. Its totient is φ = 2087136000.

The previous prime is 3972757967. The next prime is 3972757981. The reversal of 3972757971 is 1797572793.

It is a happy number.

It is not a de Polignac number, because 3972757971 - 2² = 3972757967 is a prime.

It is a super-2 number, since 2×3972757971² = 31565611792288073682, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (3972757951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39535 + ... + 97511.

It is an arithmetic number, because the mean of its divisors is an integer number (204546384).

Almost surely, 2^3972757971 is an apocalyptic number.

3972757971 is a deficient number, since it is larger than the sum of its proper divisors (2572726317).

3972757971 is a wasteful number, since it uses less digits than its factorization.

3972757971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58251.

The product of its digits is 5834430, while the sum is 57.

The square root of 3972757971 is about 63029.8181101612. The cubic root of 3972757971 is about 1583.7891711449.

The spelling of 3972757971 in words is "three billion, nine hundred seventy-two million, seven hundred fifty-seven thousand, nine hundred seventy-one".