34144128 has 96 divisors (see below), whose sum is σ = 99529560. Its totient is φ = 11234304.

The previous prime is 34144093. The next prime is 34144151. The reversal of 34144128 is 82144143.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 123126 + ... + 123402.

Almost surely, 2^34144128 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 34144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49764780).

34144128 is an abundant number, since it is smaller than the sum of its proper divisors (65385432).

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

34144128 is a wasteful number, since it uses less digits than its factorization.

34144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34144128 is about 5843.2976990737. The cubic root of 34144128 is about 324.4182983177.

The spelling of 34144128 in words is "thirty-four million, one hundred forty-four thousand, one hundred twenty-eight".