34256217841 has 2 divisors, whose sum is σ = 34256217842. Its totient is φ = 34256217840.

The previous prime is 34256217833. The next prime is 34256217887. The reversal of 34256217841 is 14871265243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20220840000 + 14035377841 = 142200^2 + 118471^2 .

It is an emirp because it is prime and its reverse (14871265243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34256217841 - 2³ = 34256217833 is a prime.

It is not a weakly prime, because it can be changed into another prime (34256211841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17128108920 + 17128108921.

It is an arithmetic number, because the mean of its divisors is an integer number (17128108921).

Almost surely, 2^34256217841 is an apocalyptic number.

It is an amenable number.

34256217841 is a deficient number, since it is larger than the sum of its proper divisors (1).

34256217841 is an equidigital number, since it uses as much as digits as its factorization.

34256217841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 322560, while the sum is 43.

The spelling of 34256217841 in words is "thirty-four billion, two hundred fifty-six million, two hundred seventeen thousand, eight hundred forty-one".