3766808064017 has 2 divisors, whose sum is σ = 3766808064018. Its totient is φ = 3766808064016.

The previous prime is 3766808063983. The next prime is 3766808064037. The reversal of 3766808064017 is 7104608086673.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3553711346641 + 213096717376 = 1885129^2 + 461624^2 .

It is a cyclic number.

It is not a de Polignac number, because 3766808064017 - 2³⁰ = 3765734322193 is a prime.

It is a super-2 number, since 2×3766808064017² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3766808064037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1883404032008 + 1883404032009.

It is an arithmetic number, because the mean of its divisors is an integer number (1883404032009).

Almost surely, 2^{3766808064017} is an apocalyptic number.

It is an amenable number.

3766808064017 is a deficient number, since it is larger than the sum of its proper divisors (1).

3766808064017 is an equidigital number, since it uses as much as digits as its factorization.

3766808064017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 3766808064017 in words is "three trillion, seven hundred sixty-six billion, eight hundred eight million, sixty-four thousand, seventeen".