3881967628961 has 2 divisors, whose sum is σ = 3881967628962. Its totient is φ = 3881967628960.

The previous prime is 3881967628939. The next prime is 3881967628997. The reversal of 3881967628961 is 1698267691883.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2854937398336 + 1027030230625 = 1689656^2 + 1013425^2 .

It is a cyclic number.

It is not a de Polignac number, because 3881967628961 - 2¹⁴ = 3881967612577 is a prime.

It is not a weakly prime, because it can be changed into another prime (3881967628921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1940983814480 + 1940983814481.

It is an arithmetic number, because the mean of its divisors is an integer number (1940983814481).

Almost surely, 2^{3881967628961} is an apocalyptic number.

It is an amenable number.

3881967628961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3881967628961 is an equidigital number, since it uses as much as digits as its factorization.

3881967628961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 376233984, while the sum is 74.

The spelling of 3881967628961 in words is "three trillion, eight hundred eighty-one billion, nine hundred sixty-seven million, six hundred twenty-eight thousand, nine hundred sixty-one".