3873676600657 has 2 divisors, whose sum is σ = 3873676600658. Its totient is φ = 3873676600656.

The previous prime is 3873676600613. The next prime is 3873676600711. The reversal of 3873676600657 is 7560066763783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2533416572241 + 1340260028416 = 1591671^2 + 1157696^2 .

It is a cyclic number.

It is not a de Polignac number, because 3873676600657 - 2¹¹ = 3873676598609 is a prime.

It is not a weakly prime, because it can be changed into another prime (3873676660657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1936838300328 + 1936838300329.

It is an arithmetic number, because the mean of its divisors is an integer number (1936838300329).

Almost surely, 2^{3873676600657} is an apocalyptic number.

It is an amenable number.

3873676600657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3873676600657 is an equidigital number, since it uses as much as digits as its factorization.

3873676600657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 160030080, while the sum is 64.

The spelling of 3873676600657 in words is "three trillion, eight hundred seventy-three billion, six hundred seventy-six million, six hundred thousand, six hundred fifty-seven".