3416 has 16 divisors (see below), whose sum is σ = 7440. Its totient is φ = 1440.

The previous prime is 3413. The next prime is 3433. The reversal of 3416 is 6143.

Adding to 3416 its reverse (6143), we get a palindrome (9559).

3416 = 19^{2} + 20^{2} + ... + 25^{2}.

3416 is digitally balanced in base 2, because in such base 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 (14).

It is an alternating number because its digits alternate between odd and even.

3416 is an undulating number in base 11.

It is a nialpdrome in base 8.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3416.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3416.

It is not an unprimeable number, because it can be changed into a prime (3413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (465).

2^{3416} 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 3416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720).

3416 is an abundant number, since it is smaller than the sum of its proper divisors (4024).

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

3416 is a wasteful number, since it uses less digits than its factorization.

3416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 3416 is about 58.4465567848. The cubic root of 3416 is about 15.0604964249.

The spelling of 3416 in words is "three thousand, four hundred sixteen".

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