34420128 has 72 divisors (see below), whose sum is σ = 92802528. Its totient is φ = 11169408.

The previous prime is 34420109. The next prime is 34420151. The reversal of 34420128 is 82102443.

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

It is a junction number, because it is equal to n+sod(n) for n = 34420098 and 34420107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334125 + ... + 334227.

It is an arithmetic number, because the mean of its divisors is an integer number (1288924).

Almost surely, 2^34420128 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 34420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46401264).

34420128 is an abundant number, since it is smaller than the sum of its proper divisors (58382400).

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

34420128 is a wasteful number, since it uses less digits than its factorization.

34420128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 34420128 is about 5866.8669662777. The cubic root of 34420128 is about 325.2900857738.

The spelling of 34420128 in words is "thirty-four million, four hundred twenty thousand, one hundred twenty-eight".