3711727617649 has 2 divisors, whose sum is σ = 3711727617650. Its totient is φ = 3711727617648.

The previous prime is 3711727617623. The next prime is 3711727617691. The reversal of 3711727617649 is 9467167271173.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1900703395600 + 1811024222049 = 1378660^2 + 1345743^2 .

It is a cyclic number.

It is not a de Polignac number, because 3711727617649 - 2³³ = 3703137683057 is a prime.

It is a super-2 number, since 2×3711727617649² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3711727617049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1855863808824 + 1855863808825.

It is an arithmetic number, because the mean of its divisors is an integer number (1855863808825).

Almost surely, 2^{3711727617649} is an apocalyptic number.

It is an amenable number.

3711727617649 is a deficient number, since it is larger than the sum of its proper divisors (1).

3711727617649 is an equidigital number, since it uses as much as digits as its factorization.

3711727617649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18670176, while the sum is 61.

The spelling of 3711727617649 in words is "three trillion, seven hundred eleven billion, seven hundred twenty-seven million, six hundred seventeen thousand, six hundred forty-nine".