34207625322 has 80 divisors (see below), whose sum is σ = 83101372200. Its totient is φ = 10454686848.

The previous prime is 34207625321. The next prime is 34207625371. The reversal of 34207625322 is 22352670243.

34207625322 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 7 + 625 + 3 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22129835121 + 12077790201 = 148761^2 + 109899^2 .

It is not an unprimeable number, because it can be changed into a prime (34207625321) 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 39 ways as a sum of consecutive naturals, for example, 259288 + ... + 368300.

Almost surely, 2^34207625322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34207625322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41550686100).

34207625322 is an abundant number, since it is smaller than the sum of its proper divisors (48893746878).

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

34207625322 is a wasteful number, since it uses less digits than its factorization.

34207625322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109189 (or 109180 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 34207625322 in words is "thirty-four billion, two hundred seven million, six hundred twenty-five thousand, three hundred twenty-two".