34076 has 12 divisors (see below), whose sum is σ = 68208. Its totient is φ = 14592.

The previous prime is 34061. The next prime is 34123. The reversal of 34076 is 67043.

34076 is an admirable number.

It is a super-2 number, since 2×34076² = 2322347552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34076.

It is an unprimeable number.

34076 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 581 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (5684).

2³⁴⁰⁷⁶ is an apocalyptic number.

It is an amenable number.

34076 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (34104).

34076 is a wasteful number, since it uses less digits than its factorization.

34076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 34076 is about 184.5968580448. The cubic root of 34076 is about 32.4202383337.

The spelling of 34076 in words is "thirty-four thousand, seventy-six".