34441328 has 40 divisors (see below), whose sum is σ = 69564000. Its totient is φ = 16498944.

The previous prime is 34441321. The next prime is 34441333. The reversal of 34441328 is 82314443.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 34441328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92150 + ... + 92522.

It is an arithmetic number, because the mean of its divisors is an integer number (1739100).

Almost surely, 2^34441328 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 34441328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34782000).

34441328 is an abundant number, since it is smaller than the sum of its proper divisors (35122672).

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

34441328 is a wasteful number, since it uses less digits than its factorization.

34441328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 34441328 is about 5868.6734446551. The cubic root of 34441328 is about 325.3568561480.

The spelling of 34441328 in words is "thirty-four million, four hundred forty-one thousand, three hundred twenty-eight".