34047384641 has 2 divisors, whose sum is σ = 34047384642. Its totient is φ = 34047384640.

The previous prime is 34047384611. The next prime is 34047384653. The reversal of 34047384641 is 14648374043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34025491600 + 21893041 = 184460^2 + 4679^2 .

It is an emirp because it is prime and its reverse (14648374043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34047384641 - 2³⁰ = 32973642817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34047384592 and 34047384601.

It is not a weakly prime, because it can be changed into another prime (34047384601) 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, 17023692320 + 17023692321.

It is an arithmetic number, because the mean of its divisors is an integer number (17023692321).

Almost surely, 2^34047384641 is an apocalyptic number.

It is an amenable number.

34047384641 is a deficient number, since it is larger than the sum of its proper divisors (1).

34047384641 is an equidigital number, since it uses as much as digits as its factorization.

34047384641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 34047384641 in words is "thirty-four billion, forty-seven million, three hundred eighty-four thousand, six hundred forty-one".