34022322224 has 160 divisors (see below), whose sum is σ = 78368269824. Its totient is φ = 14134947840.

The previous prime is 34022322221. The next prime is 34022322239. The reversal of 34022322224 is 42222322043.

It is a junction number, because it is equal to n+sod(n) for n = 34022322193 and 34022322202.

It is not an unprimeable number, because it can be changed into a prime (34022322221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16332287 + ... + 16334369.

Almost surely, 2^34022322224 is an apocalyptic number.

34022322224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184134912).

34022322224 is an abundant number, since it is smaller than the sum of its proper divisors (44345947600).

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

34022322224 is a wasteful number, since it uses less digits than its factorization.

34022322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 34022322224 its reverse (42222322043), we get a palindrome (76244644267).

The spelling of 34022322224 in words is "thirty-four billion, twenty-two million, three hundred twenty-two thousand, two hundred twenty-four".