3967041595681 has 2 divisors, whose sum is σ = 3967041595682. Its totient is φ = 3967041595680.

The previous prime is 3967041595639. The next prime is 3967041595757. The reversal of 3967041595681 is 1865951407693.

3967041595681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2118029069025 + 1849012526656 = 1455345^2 + 1359784^2 .

It is a cyclic number.

It is not a de Polignac number, because 3967041595681 - 2⁷ = 3967041595553 is a prime.

It is a super-2 number, since 2×3967041595681² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3967041505681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1983520797840 + 1983520797841.

It is an arithmetic number, because the mean of its divisors is an integer number (1983520797841).

Almost surely, 2^{3967041595681} is an apocalyptic number.

It is an amenable number.

3967041595681 is a deficient number, since it is larger than the sum of its proper divisors (1).

3967041595681 is an equidigital number, since it uses as much as digits as its factorization.

3967041595681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48988800, while the sum is 64.

The spelling of 3967041595681 in words is "three trillion, nine hundred sixty-seven billion, forty-one million, five hundred ninety-five thousand, six hundred eighty-one".