34027344 has 160 divisors (see below), whose sum is σ = 107909760. Its totient is φ = 10202112.

The previous prime is 34027333. The next prime is 34027361. The reversal of 34027344 is 44372043.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 409927 + ... + 410009.

It is an arithmetic number, because the mean of its divisors is an integer number (674436).

Almost surely, 2^34027344 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 34027344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53954880).

34027344 is an abundant number, since it is smaller than the sum of its proper divisors (73882416).

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

34027344 is a wasteful number, since it uses less digits than its factorization.

34027344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 34027344 is about 5833.2961522625. The cubic root of 34027344 is about 324.0480038613.

Adding to 34027344 its reverse (44372043), we get a palindrome (78399387).

The spelling of 34027344 in words is "thirty-four million, twenty-seven thousand, three hundred forty-four".