34816 has 24 divisors (see below), whose sum is σ = 73710. Its totient is φ = 16384.

The previous prime is 34807. The next prime is 34819. The reversal of 34816 is 61843.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 9216 = 160^2 + 96^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34819) by changing a digit.

34816 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 (2) of ones.

In principle, a polygon with 34816 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2040 + ... + 2056.

2³⁴⁸¹⁶ 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 34816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36855).

34816 is an abundant number, since it is smaller than the sum of its proper divisors (38894).

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

34816 is an equidigital number, since it uses as much as digits as its factorization.

34816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 19 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 34816 is about 186.5904606350. The cubic root of 34816 is about 32.6532408153.

The spelling of 34816 in words is "thirty-four thousand, eight hundred sixteen".