3638634531841 has 2 divisors, whose sum is σ = 3638634531842. Its totient is φ = 3638634531840.

The previous prime is 3638634531839. The next prime is 3638634531853. The reversal of 3638634531841 is 1481354368363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3513881466225 + 124753065616 = 1874535^2 + 353204^2 .

It is a cyclic number.

It is not a de Polignac number, because 3638634531841 - 2¹ = 3638634531839 is a prime.

It is a super-2 number, since 2×3638634531841² (a number of 26 digits) contains 22 as substring.

Together with 3638634531839, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3638634531811) 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, 1819317265920 + 1819317265921.

It is an arithmetic number, because the mean of its divisors is an integer number (1819317265921).

Almost surely, 2^{3638634531841} is an apocalyptic number.

It is an amenable number.

3638634531841 is a deficient number, since it is larger than the sum of its proper divisors (1).

3638634531841 is an equidigital number, since it uses as much as digits as its factorization.

3638634531841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14929920, while the sum is 55.

The spelling of 3638634531841 in words is "three trillion, six hundred thirty-eight billion, six hundred thirty-four million, five hundred thirty-one thousand, eight hundred forty-one".