34128 has 40 divisors (see below), whose sum is σ = 99200. Its totient is φ = 11232.

The previous prime is 34127. The next prime is 34129. The reversal of 34128 is 82143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34127) and next prime (34129).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is one of the 548 Lynch-Bell numbers.

Its product of digits (192) is a multiple of the sum of its prime factors (96).

It is a nialpdrome in base 6 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 34128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123) 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, 393 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (2480).

2³⁴¹²⁸ 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 34128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49600).

34128 is an abundant number, since it is smaller than the sum of its proper divisors (65072).

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

34128 is a wasteful number, since it uses less digits than its factorization.

34128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34128 is about 184.7376518201. The cubic root of 34128 is about 32.4367210545.

The spelling of 34128 in words is "thirty-four thousand, one hundred twenty-eight".