34043328 has 168 divisors, whose sum is σ = 110947200. Its totient is φ = 10264320.

The previous prime is 34043327. The next prime is 34043329. The reversal of 34043328 is 82334043.

It is an interprime number because it is at equal distance from previous prime (34043327) and next prime (34043329).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 170973 + ... + 171171.

It is an arithmetic number, because the mean of its divisors is an integer number (660400).

Almost surely, 2^34043328 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 34043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473600).

34043328 is an abundant number, since it is smaller than the sum of its proper divisors (76903872).

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

34043328 is a wasteful number, since it uses less digits than its factorization.

34043328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34043328 is about 5834.6660572821. Note that the first 3 decimals coincide. The cubic root of 34043328 is about 324.0987353406.

The spelling of 34043328 in words is "thirty-four million, forty-three thousand, three hundred twenty-eight".