34805300350843 has 16 divisors (see below), whose sum is σ = 38361374257536. Its totient is φ = 31315124946240.

The previous prime is 34805300350837. The next prime is 34805300350871.

34805300350843 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34805300350843 - 2³⁷ = 34667861397371 is a prime.

It is a super-2 number, since 2×34805300350843² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34805300350793 and 34805300350802.

It is not an unprimeable number, because it can be changed into a prime (34805300350823) 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 15 ways as a sum of consecutive naturals, for example, 13097421 + ... + 15529102.

It is an arithmetic number, because the mean of its divisors is an integer number (2397585891096).

Almost surely, 2^{34805300350843} is an apocalyptic number.

34805300350843 is a deficient number, since it is larger than the sum of its proper divisors (3556073906693).

34805300350843 is a wasteful number, since it uses less digits than its factorization.

34805300350843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28627674.

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 34805300350843 in words is "thirty-four trillion, eight hundred five billion, three hundred million, three hundred fifty thousand, eight hundred forty-three".