3838237616137 has 2 divisors, whose sum is σ = 3838237616138. Its totient is φ = 3838237616136.

The previous prime is 3838237616123. The next prime is 3838237616189. The reversal of 3838237616137 is 7316167328383.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2849955088761 + 988282527376 = 1688181^2 + 994124^2 .

It is a cyclic number.

It is not a de Polignac number, because 3838237616137 - 2¹⁹ = 3838237091849 is a prime.

It is not a weakly prime, because it can be changed into another prime (3838237616737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1919118808068 + 1919118808069.

It is an arithmetic number, because the mean of its divisors is an integer number (1919118808069).

Almost surely, 2^{3838237616137} is an apocalyptic number.

It is an amenable number.

3838237616137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3838237616137 is an equidigital number, since it uses as much as digits as its factorization.

3838237616137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18289152, while the sum is 58.

The spelling of 3838237616137 in words is "three trillion, eight hundred thirty-eight billion, two hundred thirty-seven million, six hundred sixteen thousand, one hundred thirty-seven".