34857237641 has 2 divisors, whose sum is σ = 34857237642. Its totient is φ = 34857237640.

The previous prime is 34857237599. The next prime is 34857237661. The reversal of 34857237641 is 14673275843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34752789241 + 104448400 = 186421^2 + 10220^2 .

It is a cyclic number.

It is not a de Polignac number, because 34857237641 - 2¹⁸ = 34856975497 is a prime.

It is a super-2 number, since 2×34857237641² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34857237641.

It is not a weakly prime, because it can be changed into another prime (34857237661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17428618820 + 17428618821.

It is an arithmetic number, because the mean of its divisors is an integer number (17428618821).

Almost surely, 2^34857237641 is an apocalyptic number.

It is an amenable number.

34857237641 is a deficient number, since it is larger than the sum of its proper divisors (1).

34857237641 is an equidigital number, since it uses as much as digits as its factorization.

34857237641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3386880, while the sum is 50.

The spelling of 34857237641 in words is "thirty-four billion, eight hundred fifty-seven million, two hundred thirty-seven thousand, six hundred forty-one".