3837974977217 has 2 divisors, whose sum is σ = 3837974977218. Its totient is φ = 3837974977216.

The previous prime is 3837974977153. The next prime is 3837974977219. The reversal of 3837974977217 is 7127794797383.

3837974977217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3807926834881 + 30048142336 = 1951391^2 + 173344^2 .

It is a cyclic number.

It is not a de Polignac number, because 3837974977217 - 2⁶ = 3837974977153 is a prime.

Together with 3837974977219, 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 (3837974977219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1918987488608 + 1918987488609.

It is an arithmetic number, because the mean of its divisors is an integer number (1918987488609).

Almost surely, 2^{3837974977217} is an apocalyptic number.

It is an amenable number.

3837974977217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3837974977217 is an equidigital number, since it uses as much as digits as its factorization.

3837974977217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 784147392, while the sum is 74.

The spelling of 3837974977217 in words is "three trillion, eight hundred thirty-seven billion, nine hundred seventy-four million, nine hundred seventy-seven thousand, two hundred seventeen".