34668 has 30 divisors (see below), whose sum is σ = 91476. Its totient is φ = 11448.

The previous prime is 34667. The next prime is 34673. The reversal of 34668 is 86643.

34668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (34667) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 271 + ... + 377.

2³⁴⁶⁶⁸ 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 34668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738).

34668 is an abundant number, since it is smaller than the sum of its proper divisors (56808).

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

34668 is a wasteful number, since it uses less digits than its factorization.

34668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34668 is about 186.1934477902. The cubic root of 34668 is about 32.6069063366.

It can be divided in two parts, 346 and 68, that added together give a palindrome (414).

The spelling of 34668 in words is "thirty-four thousand, six hundred sixty-eight".