34128144 has 60 divisors (see below), whose sum is σ = 95926896. Its totient is φ = 11326656.

The previous prime is 34128119. The next prime is 34128167. The reversal of 34128144 is 44182143.

34128144 is a `hidden beast` number, since 341 + 281 + 44 = 666.

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

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, 49627 + ... + 50309.

Almost surely, 2^34128144 is an apocalyptic number.

34128144 is the 3123-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34128144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47963448).

34128144 is an abundant number, since it is smaller than the sum of its proper divisors (61798752).

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

34128144 is a wasteful number, since it uses less digits than its factorization.

34128144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

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

The square root of 34128144 is about 5841.9298181337. The cubic root of 34128144 is about 324.3676667570.

The spelling of 34128144 in words is "thirty-four million, one hundred twenty-eight thousand, one hundred forty-four".