34345142441 has 16 divisors (see below), whose sum is σ = 36152636688. Its totient is φ = 32584780800.

The previous prime is 34345142411. The next prime is 34345142443. The reversal of 34345142441 is 14424154343.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1973936041 + 32371206400 = 44429^2 + 179920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34345142441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34345142443) 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 in 15 ways as a sum of consecutive naturals, for example, 3625451 + ... + 3634911.

It is an arithmetic number, because the mean of its divisors is an integer number (2259539793).

Almost surely, 2^34345142441 is an apocalyptic number.

It is an amenable number.

34345142441 is a deficient number, since it is larger than the sum of its proper divisors (1807494247).

34345142441 is a wasteful number, since it uses less digits than its factorization.

34345142441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932.

The product of its digits is 92160, while the sum is 35.

Adding to 34345142441 its reverse (14424154343), we get a palindrome (48769296784).

The spelling of 34345142441 in words is "thirty-four billion, three hundred forty-five million, one hundred forty-two thousand, four hundred forty-one".