34716 has 24 divisors (see below), whose sum is σ = 88704. Its totient is φ = 10480.

The previous prime is 34703. The next prime is 34721. The reversal of 34716 is 61743.

34716 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

34716 is a nontrivial binomial coefficient, being equal to C(264, 2).

It is a junction number, because it is equal to n+sod(n) for n = 34692 and 34701.

It is a congruent number.

It is an unprimeable number.

34716 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

2³⁴⁷¹⁶ is an apocalyptic number.

34716 is the 263-rd triangular number and also the 132-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352).

34716 is an abundant number, since it is smaller than the sum of its proper divisors (53988).

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

34716 is a wasteful number, since it uses less digits than its factorization.

34716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 34716 is about 186.3223014027. The cubic root of 34716 is about 32.6219481592.

It can be divided in two parts, 347 and 16, that added together give a palindrome (363).

The spelling of 34716 in words is "thirty-four thousand, seven hundred sixteen".