34024644642043 has 16 divisors (see below), whose sum is σ = 38768889369600. Its totient is φ = 29558171206080.

The previous prime is 34024644642029. The next prime is 34024644642061.

34024644642043 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34024644642043 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34024644641984 and 34024644642002.

It is not an unprimeable number, because it can be changed into a prime (34024644642143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64455498 + ... + 64981231.

It is an arithmetic number, because the mean of its divisors is an integer number (2423055585600).

Almost surely, 2^{34024644642043} is an apocalyptic number.

34024644642043 is a deficient number, since it is larger than the sum of its proper divisors (4744244727557).

34024644642043 is a wasteful number, since it uses less digits than its factorization.

34024644642043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129437802.

The product of its (nonzero) digits is 5308416, while the sum is 46.

The spelling of 34024644642043 in words is "thirty-four trillion, twenty-four billion, six hundred forty-four million, six hundred forty-two thousand, forty-three".