34216 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 13248.

The previous prime is 34213. The next prime is 34217. The reversal of 34216 is 61243.

34216 = T₃ + T₄ + ... + T₅₈.

34216 is nontrivially palindromic in base 3 and base 6.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 34216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705 + ... + 751.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2³⁴²¹⁶ 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 34216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

34216 is an abundant number, since it is smaller than the sum of its proper divisors (46424).

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

34216 is a wasteful number, since it uses less digits than its factorization.

34216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 34216 is about 184.9756740763. The cubic root of 34216 is about 32.4645767893.

Adding to 34216 its reverse (61243), we get a palindrome (95459).

The spelling of 34216 in words is "thirty-four thousand, two hundred sixteen".