34968 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 11040.

The previous prime is 34963. The next prime is 34981. The reversal of 34968 is 86943.

It is a Cunningham number, because it is equal to 187²-1.

It is a super-2 number, since 2×34968² = 2445522048, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34961) by changing a digit.

34968 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 721 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

34968 is a Friedman number, since it can be written as (9*6^4-8)*3, using all its digits and the basic arithmetic operations.

2³⁴⁹⁶⁸ 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 34968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080).

34968 is an abundant number, since it is smaller than the sum of its proper divisors (57192).

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

34968 is a wasteful number, since it uses less digits than its factorization.

34968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 34968 is about 186.9973261841. The cubic root of 34968 is about 32.7006910982.

It can be divided in two parts, 349 and 68, that multiplied together give a palindrome (23732).

The spelling of 34968 in words is "thirty-four thousand, nine hundred sixty-eight".