3873881304193 has 2 divisors, whose sum is σ = 3873881304194. Its totient is φ = 3873881304192.

The previous prime is 3873881304151. The next prime is 3873881304217. The reversal of 3873881304193 is 3914031883783.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2990174140944 + 883707163249 = 1729212^2 + 940057^2 .

It is a cyclic number.

It is not a de Polignac number, because 3873881304193 - 2⁹ = 3873881303681 is a prime.

It is not a weakly prime, because it can be changed into another prime (3873881304133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1936940652096 + 1936940652097.

It is an arithmetic number, because the mean of its divisors is an integer number (1936940652097).

Almost surely, 2^{3873881304193} is an apocalyptic number.

It is an amenable number.

3873881304193 is a deficient number, since it is larger than the sum of its proper divisors (1).

3873881304193 is an equidigital number, since it uses as much as digits as its factorization.

3873881304193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 3873881304193 in words is "three trillion, eight hundred seventy-three billion, eight hundred eighty-one million, three hundred four thousand, one hundred ninety-three".