34385844858343 has 8 divisors (see below), whose sum is σ = 37781700042240. Its totient is φ = 31034967889080.

The previous prime is 34385844858319. The next prime is 34385844858349.

34385844858343 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34385844858343 - 2²⁹ = 34385307987431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34385844858349) 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 in 7 ways as a sum of consecutive naturals, for example, 11244552055 + ... + 11244555112.

It is an arithmetic number, because the mean of its divisors is an integer number (4722712505280).

Almost surely, 2^{34385844858343} is an apocalyptic number.

34385844858343 is a deficient number, since it is larger than the sum of its proper divisors (3395855183897).

34385844858343 is a wasteful number, since it uses less digits than its factorization.

34385844858343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22489107317.

The product of its digits is 2123366400, while the sum is 70.

The spelling of 34385844858343 in words is "thirty-four trillion, three hundred eighty-five billion, eight hundred forty-four million, eight hundred fifty-eight thousand, three hundred forty-three".