34345440413 has 2 divisors, whose sum is σ = 34345440414. Its totient is φ = 34345440412.

The previous prime is 34345440407. The next prime is 34345440449. The reversal of 34345440413 is 31404454343.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26367913924 + 7977526489 = 162382^2 + 89317^2 .

It is a cyclic number.

It is not a de Polignac number, because 34345440413 - 2¹⁰ = 34345439389 is a prime.

It is a super-2 number, since 2×34345440413² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34345440403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17172720206 + 17172720207.

It is an arithmetic number, because the mean of its divisors is an integer number (17172720207).

Almost surely, 2^34345440413 is an apocalyptic number.

It is an amenable number.

34345440413 is a deficient number, since it is larger than the sum of its proper divisors (1).

34345440413 is an equidigital number, since it uses as much as digits as its factorization.

34345440413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 34345440413 its reverse (31404454343), we get a palindrome (65749894756).

The spelling of 34345440413 in words is "thirty-four billion, three hundred forty-five million, four hundred forty thousand, four hundred thirteen".