34120632205345 has 16 divisors (see below), whose sum is σ = 46824219129600. Its totient is φ = 23381900316864.

The previous prime is 34120632205339. The next prime is 34120632205379. The reversal of 34120632205345 is 54350223602143.

It is a cyclic number.

It is not a de Polignac number, because 34120632205345 - 2³⁵ = 34086272466977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34120632205298 and 34120632205307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314624677 + ... + 314733106.

It is an arithmetic number, because the mean of its divisors is an integer number (2926513695600).

Almost surely, 2^{34120632205345} is an apocalyptic number.

34120632205345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34120632205345 is a deficient number, since it is larger than the sum of its proper divisors (12703586924255).

34120632205345 is a wasteful number, since it uses less digits than its factorization.

34120632205345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629359344.

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 34120632205345 its reverse (54350223602143), we get a palindrome (88470855807488).

The spelling of 34120632205345 in words is "thirty-four trillion, one hundred twenty billion, six hundred thirty-two million, two hundred five thousand, three hundred forty-five".