34350344305343 has 32 divisors (see below), whose sum is σ = 38768552017920. Its totient is φ = 30152601216000.

The previous prime is 34350344305301. The next prime is 34350344305421.

34350344305343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34350344305343 - 2⁸ = 34350344305087 is a prime.

It is a super-2 number, since 2×34350344305343² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34350344305294 and 34350344305303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34350344205343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490130978 + ... + 490201056.

It is an arithmetic number, because the mean of its divisors is an integer number (1211517250560).

Almost surely, 2^{34350344305343} is an apocalyptic number.

34350344305343 is a deficient number, since it is larger than the sum of its proper divisors (4418207712577).

34350344305343 is a wasteful number, since it uses less digits than its factorization.

34350344305343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73319.

The product of its (nonzero) digits is 4665600, while the sum is 44.

The spelling of 34350344305343 in words is "thirty-four trillion, three hundred fifty billion, three hundred forty-four million, three hundred five thousand, three hundred forty-three".