3312 has 30 divisors (see below), whose sum is σ = 9672. Its totient is φ = 1056.

The previous prime is 3307. The next prime is 3313. The reversal of 3312 is 2133.

It is a happy number.

3312 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 (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 13.

It is a zygodrome in base 2 and base 3.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3294 and 3303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313) by changing a digit.

3312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133 + ... + 155.

2^{3312} 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 3312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836).

3312 is an abundant number, since it is smaller than the sum of its proper divisors (6360).

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

3312 is a wasteful number, since it uses less digits than its factorization.

3312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 28 counting only the distinct ones).

The product of its digits is 18, while the sum is 9.

The square root of 3312 is about 57.5499782798. The cubic root of 3312 is about 14.9060798274.

Adding to 3312 its reverse (2133), we get a palindrome (5445).

It can be divided in two parts, 331 and 2, that added together give a palindrome (333).

The spelling of 3312 in words is "three thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312

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