3838477038313 has 2 divisors, whose sum is σ = 3838477038314. Its totient is φ = 3838477038312.

The previous prime is 3838477038311. The next prime is 3838477038317. The reversal of 3838477038313 is 3138307748383.

3838477038313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2487017312784 + 1351459725529 = 1577028^2 + 1162523^2 .

It is a cyclic number.

It is not a de Polignac number, because 3838477038313 - 2¹ = 3838477038311 is a prime.

It is a super-2 number, since 2×3838477038313² (a number of 26 digits) contains 22 as substring.

Together with 3838477038311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3838477038311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1919238519156 + 1919238519157.

It is an arithmetic number, because the mean of its divisors is an integer number (1919238519157).

Almost surely, 2^{3838477038313} is an apocalyptic number.

It is an amenable number.

3838477038313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3838477038313 is an equidigital number, since it uses as much as digits as its factorization.

3838477038313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24385536, while the sum is 58.

The spelling of 3838477038313 in words is "three trillion, eight hundred thirty-eight billion, four hundred seventy-seven million, thirty-eight thousand, three hundred thirteen".