34346414041 has 2 divisors, whose sum is σ = 34346414042. Its totient is φ = 34346414040.

The previous prime is 34346414029. The next prime is 34346414051. The reversal of 34346414041 is 14041464343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18852388416 + 15494025625 = 137304^2 + 124475^2 .

It is a cyclic number.

It is not a de Polignac number, because 34346414041 - 2¹⁷ = 34346282969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34346413988 and 34346414006.

It is not a weakly prime, because it can be changed into another prime (34346414051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17173207020 + 17173207021.

It is an arithmetic number, because the mean of its divisors is an integer number (17173207021).

Almost surely, 2^34346414041 is an apocalyptic number.

It is an amenable number.

34346414041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34346414041 is an equidigital number, since it uses as much as digits as its factorization.

34346414041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34346414041 its reverse (14041464343), we get a palindrome (48387878384).

The spelling of 34346414041 in words is "thirty-four billion, three hundred forty-six million, four hundred fourteen thousand, forty-one".