34283817309 has 96 divisors (see below), whose sum is σ = 56112222720. Its totient is φ = 18545200128.

The previous prime is 34283817289. The next prime is 34283817343. The reversal of 34283817309 is 90371838243.

It is not a de Polignac number, because 34283817309 - 2⁵ = 34283817277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34283817349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31366167 + ... + 31367259.

It is an arithmetic number, because the mean of its divisors is an integer number (584502320).

Almost surely, 2^34283817309 is an apocalyptic number.

It is an amenable number.

34283817309 is a deficient number, since it is larger than the sum of its proper divisors (21828405411).

34283817309 is a wasteful number, since it uses less digits than its factorization.

34283817309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 34283817309 in words is "thirty-four billion, two hundred eighty-three million, eight hundred seventeen thousand, three hundred nine".