34322044224 has 112 divisors (see below), whose sum is σ = 99034315520. Its totient is φ = 10426890240.

The previous prime is 34322044219. The next prime is 34322044349. The reversal of 34322044224 is 42244022343.

It is a junction number, because it is equal to n+sod(n) for n = 34322044191 and 34322044200.

It is a congruent number.

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, 110154 + ... + 284214.

It is an arithmetic number, because the mean of its divisors is an integer number (884234960).

Almost surely, 2^34322044224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34322044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49517157760).

34322044224 is an abundant number, since it is smaller than the sum of its proper divisors (64712271296).

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

34322044224 is a wasteful number, since it uses less digits than its factorization.

34322044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174168 (or 174158 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 34322044224 its reverse (42244022343), we get a palindrome (76566066567).

The spelling of 34322044224 in words is "thirty-four billion, three hundred twenty-two million, forty-four thousand, two hundred twenty-four".