3348 has 24 divisors (see below), whose sum is σ = 8960. Its totient is φ = 1080.

The previous prime is 3347. The next prime is 3359. The reversal of 3348 is 8433.

Added to its reverse (8433) it gives a triangular number (11781 = T_{153}).

It is a super-2 number, since 2×3348^{2} = 22418208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (288) is a multiple of the sum of its prime divisors (36).

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343) 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, 93 + ... + 123.

2^{3348} 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 3348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480).

3348 is an abundant number, since it is smaller than the sum of its proper divisors (5612).

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

3348 is a wasteful number, since it uses less digits than its factorization.

3348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 36 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3348 is about 57.8619045660. The cubic root of 3348 is about 14.9598928567.

Adding to 3348 its reverse (8433), we get a triangular number (11781 = T_{153}).

It can be divided in two parts, 33 and 48, that added together give a 4-th power (81 = 3^{4}).

The spelling of 3348 in words is "three thousand, three hundred forty-eight".

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