34314200241343 has 32 divisors (see below), whose sum is σ = 37815431314752. Its totient is φ = 30878292787200.

The previous prime is 34314200241301. The next prime is 34314200241383.

34314200241343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34314200241343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34314200241299 and 34314200241308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314200241383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492364455 + ... + 1492387447.

It is an arithmetic number, because the mean of its divisors is an integer number (1181732228586).

Almost surely, 2^{34314200241343} is an apocalyptic number.

34314200241343 is a deficient number, since it is larger than the sum of its proper divisors (3501231073409).

34314200241343 is a wasteful number, since it uses less digits than its factorization.

34314200241343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26635.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 34314200 and 241343, that added together give a palindrome (34555543).

The spelling of 34314200241343 in words is "thirty-four trillion, three hundred fourteen billion, two hundred million, two hundred forty-one thousand, three hundred forty-three".