34201728 has 96 divisors (see below), whose sum is σ = 107406000. Its totient is φ = 10360320.

The previous prime is 34201703. The next prime is 34201747. The reversal of 34201728 is 82710243.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11323 + ... + 14021.

Almost surely, 2^34201728 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 34201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703000).

34201728 is an abundant number, since it is smaller than the sum of its proper divisors (73204272).

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

34201728 is a wasteful number, since it uses less digits than its factorization.

34201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34201728 is about 5848.2243459019. The cubic root of 34201728 is about 324.6006234307.

The spelling of 34201728 in words is "thirty-four million, two hundred one thousand, seven hundred twenty-eight".