34000 has 40 divisors (see below), whose sum is σ = 87048. Its totient is φ = 12800.

The previous prime is 33997. The next prime is 34019. The reversal of 34000 is 43.

34000 = T₁₁ + T₁₂ + ... + T₅₈.

34000 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 33856 = 12^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1992 + ... + 2008.

2³⁴⁰⁰⁰ 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 34000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524).

34000 is an abundant number, since it is smaller than the sum of its proper divisors (53048).

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

34000 is a wasteful number, since it uses less digits than its factorization.

34000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 34000 is about 184.3908891459. The cubic root of 34000 is about 32.3961180128.

Adding to 34000 its reverse (43), we get a palindrome (34043).

The spelling of 34000 in words is "thirty-four thousand", and thus it is an eban number.