3220 has 24 divisors (see below), whose sum is σ = 8064. Its totient is φ = 1056.

The previous prime is 3217. The next prime is 3221. The reversal of 3220 is 223.

3220 = T₇ + T₈ + ... + T₂₆.

3220 = 7² + 8² + ... + 21².

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a plaindrome in base 11.

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032).

3220 is an abundant number, since it is smaller than the sum of its proper divisors (4844).

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

3220 is a wasteful number, since it uses less digits than its factorization.

3220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 3220 is about 56.7450438364. The cubic root of 3220 is about 14.7667625193.

Adding to 3220 its reverse (223), we get a palindrome (3443).

The spelling of 3220 in words is "three thousand, two hundred twenty", and thus it is an iban number.