34516384 has 36 divisors (see below), whose sum is σ = 79052274. Its totient is φ = 14792064.

The previous prime is 34516337. The next prime is 34516393. The reversal of 34516384 is 48361543.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26832400 + 7683984 = 5180^2 + 2772^2 .

It is a super-3 number, since 3×34516384³ (a number of 24 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 9439 + ... + 12574.

Almost surely, 2^34516384 is an apocalyptic number.

It is an amenable number.

34516384 is an abundant number, since it is smaller than the sum of its proper divisors (44535890).

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

34516384 is a wasteful number, since it uses less digits than its factorization.

34516384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22037 (or 22022 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 34516384 is about 5875.0645953896. The cubic root of 34516384 is about 325.5930284836.

The spelling of 34516384 in words is "thirty-four million, five hundred sixteen thousand, three hundred eighty-four".