34441728 has 80 divisors (see below), whose sum is σ = 97225920. Its totient is φ = 10797056.

The previous prime is 34441723. The next prime is 34441739. The reversal of 34441728 is 82714443.

It is not an unprimeable number, because it can be changed into a prime (34441723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25453 + ... + 26771.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 2^34441728 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 34441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48612960).

34441728 is an abundant number, since it is smaller than the sum of its proper divisors (62784192).

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

34441728 is a wasteful number, since it uses less digits than its factorization.

34441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1341 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 34441728 is about 5868.7075238079. The cubic root of 34441728 is about 325.3581157030.

The spelling of 34441728 in words is "thirty-four million, four hundred forty-one thousand, seven hundred twenty-eight".