34462128 has 80 divisors (see below), whose sum is σ = 95217120. Its totient is φ = 10702848.

The previous prime is 34462117. The next prime is 34462151. The reversal of 34462128 is 82126443.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34462095 and 34462104.

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, 127978 + ... + 128246.

It is an arithmetic number, because the mean of its divisors is an integer number (1190214).

Almost surely, 2^34462128 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 34462128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47608560).

34462128 is an abundant number, since it is smaller than the sum of its proper divisors (60754992).

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

34462128 is a wasteful number, since it uses less digits than its factorization.

34462128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 34462128 is about 5870.4452982717. The cubic root of 34462128 is about 325.4223400798.

The spelling of 34462128 in words is "thirty-four million, four hundred sixty-two thousand, one hundred twenty-eight".