34345114041 has 64 divisors (see below), whose sum is σ = 53603205120. Its totient is φ = 19157636160.

The previous prime is 34345114009. The next prime is 34345114051. The reversal of 34345114041 is 14041154343.

It is not a de Polignac number, because 34345114041 - 2⁵ = 34345114009 is a prime.

It is a super-3 number, since 3×34345114041³ (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34345114051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89673736 + ... + 89674118.

It is an arithmetic number, because the mean of its divisors is an integer number (837550080).

Almost surely, 2^34345114041 is an apocalyptic number.

It is an amenable number.

34345114041 is a deficient number, since it is larger than the sum of its proper divisors (19258091079).

34345114041 is a wasteful number, since it uses less digits than its factorization.

34345114041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 34345114041 its reverse (14041154343), we get a palindrome (48386268384).

The spelling of 34345114041 in words is "thirty-four billion, three hundred forty-five million, one hundred fourteen thousand, forty-one".