3974167681 has 15 divisors (see below), whose sum is σ = 4379964115. Its totient is φ = 3605945200.

The previous prime is 3974167657. The next prime is 3974167709. The reversal of 3974167681 is 1867614793.

The square root of 3974167681 is 63041.

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

3974167681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1139670081 + 2834497600 = 33759^2 + 53240^2 .

It is not a de Polignac number, because 3974167681 - 2¹⁷ = 3974036609 is a prime.

It is a super-2 number, since 2×3974167681² = 31588017513409835522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3974167181) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7627701 + ... + 7628221.

Almost surely, 2^3974167681 is an apocalyptic number.

3974167681 is the 63041-st square number.

3974167681 is the 31521-st centered octagonal number.

It is an amenable number.

3974167681 is a deficient number, since it is larger than the sum of its proper divisors (405796434).

3974167681 is an frugal number, since it uses more digits than its factorization.

3974167681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 532 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The cubic root of 3974167681 is about 1583.9764817753.

The spelling of 3974167681 in words is "three billion, nine hundred seventy-four million, one hundred sixty-seven thousand, six hundred eighty-one".