34422002304 has 128 divisors (see below), whose sum is σ = 92569798080. Its totient is φ = 11331993600.

The previous prime is 34422002299. The next prime is 34422002309. The reversal of 34422002304 is 40320022443.

It is an interprime number because it is at equal distance from previous prime (34422002299) and next prime (34422002309).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34422002309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20283184 + ... + 20284880.

Almost surely, 2^34422002304 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 34422002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46284899040).

34422002304 is an abundant number, since it is smaller than the sum of its proper divisors (58147795776).

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

34422002304 is a wasteful number, since it uses less digits than its factorization.

34422002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34422002304 its reverse (40320022443), we get a palindrome (74742024747).

The spelling of 34422002304 in words is "thirty-four billion, four hundred twenty-two million, two thousand, three hundred four".