3216 has 20 divisors (see below), whose sum is σ = 8432. Its totient is φ = 1056.

The previous prime is 3209. The next prime is 3217. The reversal of 3216 is 6123.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 14.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3217) 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, 15 + ... + 81.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216).

3216 is an abundant number, since it is smaller than the sum of its proper divisors (5216).

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

3216 is a wasteful number, since it uses less digits than its factorization.

3216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 3216 is about 56.7097875150. The cubic root of 3216 is about 14.7606453842.

Adding to 3216 its reverse (6123), we get a palindrome (9339).

It can be divided in two parts, 32 and 16, that multiplied together give a 9-th power (512 = 2⁹).

The spelling of 3216 in words is "three thousand, two hundred sixteen".