34384 has 20 divisors (see below), whose sum is σ = 76384. Its totient is φ = 14688.

The previous prime is 34381. The next prime is 34403. The reversal of 34384 is 48343.

It is a nialpdrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42 + ... + 265.

2³⁴³⁸⁴ is an apocalyptic number.

It is an amenable number.

34384 is an abundant number, since it is smaller than the sum of its proper divisors (42000).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38192).

34384 is a wasteful number, since it uses less digits than its factorization.

34384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 34384 is about 185.4292317840. The cubic root of 34384 is about 32.5176235777.

The spelling of 34384 in words is "thirty-four thousand, three hundred eighty-four".