3945747966337 has 2 divisors, whose sum is σ = 3945747966338. Its totient is φ = 3945747966336.

The previous prime is 3945747966289. The next prime is 3945747966397. The reversal of 3945747966337 is 7336697475493.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2492659961856 + 1453088004481 = 1578816^2 + 1205441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3945747966337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3945747966337.

It is not a weakly prime, because it can be changed into another prime (3945747966397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1972873983168 + 1972873983169.

It is an arithmetic number, because the mean of its divisors is an integer number (1972873983169).

Almost surely, 2^{3945747966337} is an apocalyptic number.

It is an amenable number.

3945747966337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3945747966337 is an equidigital number, since it uses as much as digits as its factorization.

3945747966337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160406080, while the sum is 73.

The spelling of 3945747966337 in words is "three trillion, nine hundred forty-five billion, seven hundred forty-seven million, nine hundred sixty-six thousand, three hundred thirty-seven".