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3372 = 223281

3372 has 12 divisors (see below), whose sum is σ = 7896. Its totient is φ = 1120.

The previous prime is 3371. The next prime is 3373. The reversal of 3372 is 2733.

Added to its reverse (2733) it gives a triangular number (6105 = T110).

3372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3371) and next prime (3373).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×33722 = 22740768, which contains 22 as substring.

It is a plaindrome in base 7 and base 9.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3372.

It is not an unprimeable number, because it can be changed into a prime (3371) 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, 129 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (658).

It is an amenable number.

3372 is an abundant number, since it is smaller than the sum of its proper divisors (4524).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948).

3372 is a wasteful number, since it uses less digits than its factorization.

3372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its digits is 126, while the sum is 15.

The square root of 3372 is about 58.0689245638. The cubic root of 3372 is about 14.9955542380.

Adding to 3372 its reverse (2733), we get a triangular number (6105 = T110).

It can be divided in two parts, 33 and 72, that added together give a triangular number (105 = T14).

The spelling of 3372 in words is "three thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 281 562 843 1124 1686 3372