34222080 has 104 divisors (see below), whose sum is σ = 109693872. Its totient is φ = 9109504.

The previous prime is 34222073. The next prime is 34222081. The reversal of 34222080 is 8022243.

It is not an unprimeable number, because it can be changed into a prime (34222081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61162 + ... + 61718.

Almost surely, 2^34222080 is an apocalyptic number.

34222080 is a gapful number since it is divisible by the number (30) 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 34222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54846936).

34222080 is an abundant number, since it is smaller than the sum of its proper divisors (75471792).

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

34222080 is an equidigital number, since it uses as much as digits as its factorization.

34222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34222080 is about 5849.9641024540. The cubic root of 34222080 is about 324.6649960256.

It can be divided in two parts, 342 and 22080, that added together give a palindrome (22422).

The spelling of 34222080 in words is "thirty-four million, two hundred twenty-two thousand, eighty".