3360 has 48 divisors (see below), whose sum is σ = 12096. Its totient is φ = 768.

The previous prime is 3359. The next prime is 3361. The reversal of 3360 is 633.

3360 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3359) and next prime (3361).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3360² = 22579200, which contains 22 as substring.

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

It is a nialpdrome in base 8, base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

3360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048).

3360 is an abundant number, since it is smaller than the sum of its proper divisors (8736).

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

3360 is a wasteful number, since it uses less digits than its factorization.

3360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3360 is about 57.9655069848. The cubic root of 3360 is about 14.9777447744.

Adding to 3360 its reverse (633), we get a palindrome (3993).

It can be divided in two parts, 3 and 360, that added together give a palindrome (363).

The spelling of 3360 in words is "three thousand, three hundred sixty".