3712767716417 has 2 divisors, whose sum is σ = 3712767716418. Its totient is φ = 3712767716416.

The previous prime is 3712767716377. The next prime is 3712767716419. The reversal of 3712767716417 is 7146177672173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3643914481216 + 68853235201 = 1908904^2 + 262399^2 .

It is a cyclic number.

It is not a de Polignac number, because 3712767716417 - 2¹⁶ = 3712767650881 is a prime.

Together with 3712767716419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3712767716419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1856383858208 + 1856383858209.

It is an arithmetic number, because the mean of its divisors is an integer number (1856383858209).

Almost surely, 2^{3712767716417} is an apocalyptic number.

It is an amenable number.

3712767716417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3712767716417 is an equidigital number, since it uses as much as digits as its factorization.

3712767716417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14521248, while the sum is 59.

The spelling of 3712767716417 in words is "three trillion, seven hundred twelve billion, seven hundred sixty-seven million, seven hundred sixteen thousand, four hundred seventeen".