34356044065343 has 32 divisors (see below), whose sum is σ = 47719029173760. Its totient is φ = 23859514546560.

The previous prime is 34356044065309. The next prime is 34356044065363.

34356044065343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34356044065343 - 2¹⁰ = 34356044064319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34356044065291 and 34356044065300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356044065363) 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, 591724805 + ... + 591782862.

It is an arithmetic number, because the mean of its divisors is an integer number (1491219661680).

Almost surely, 2^{34356044065343} is an apocalyptic number.

34356044065343 is a deficient number, since it is larger than the sum of its proper divisors (13362985108417).

34356044065343 is a wasteful number, since it uses less digits than its factorization.

34356044065343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183507727.

The product of its (nonzero) digits is 18662400, while the sum is 50.

The spelling of 34356044065343 in words is "thirty-four trillion, three hundred fifty-six billion, forty-four million, sixty-five thousand, three hundred forty-three".