34834443305706 has 96 divisors (see below), whose sum is σ = 85388140551168. Its totient is φ = 10555557657840.

The previous prime is 34834443305699. The next prime is 34834443305731. The reversal of 34834443305706 is 60750334443843.

34834443305706 is a `hidden beast` number, since 3 + 4 + 8 + 34 + 4 + 4 + 3 + 30 + 570 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207998655 + ... + 208166061.

It is an arithmetic number, because the mean of its divisors is an integer number (889459797408).

Almost surely, 2^{34834443305706} is an apocalyptic number.

34834443305706 is an abundant number, since it is smaller than the sum of its proper divisors (50553697245462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34834443305706 is a wasteful number, since it uses less digits than its factorization.

34834443305706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206358 (or 206346 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 34834443305706 in words is "thirty-four trillion, eight hundred thirty-four billion, four hundred forty-three million, three hundred five thousand, seven hundred six".