34334312801 has 2 divisors, whose sum is σ = 34334312802. Its totient is φ = 34334312800.

The previous prime is 34334312731. The next prime is 34334312833. The reversal of 34334312801 is 10821343343.

It is an a-pointer prime, because the next prime (34334312833) can be obtained adding 34334312801 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31831912225 + 2502400576 = 178415^2 + 50024^2 .

It is a cyclic number.

It is not a de Polignac number, because 34334312801 - 2¹⁸ = 34334050657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34334312861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17167156400 + 17167156401.

It is an arithmetic number, because the mean of its divisors is an integer number (17167156401).

Almost surely, 2^34334312801 is an apocalyptic number.

It is an amenable number.

34334312801 is a deficient number, since it is larger than the sum of its proper divisors (1).

34334312801 is an equidigital number, since it uses as much as digits as its factorization.

34334312801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 34334312801 in words is "thirty-four billion, three hundred thirty-four million, three hundred twelve thousand, eight hundred one".