3180 has 24 divisors (see below), whose sum is σ = 9072. Its totient is φ = 832.

The previous prime is 3169. The next prime is 3181. The reversal of 3180 is 813.

Adding to 3180 its reverse (813), we get a palindrome (3993).

It can be divided in two parts, 31 and 80, that added together give a palindrome (111).

3180 is nontrivially palindromic in base 16.

3180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3180 is an esthetic number in base 9 and base 14, because in such bases its adjacent digits differ by 1.

It is a super-2 number, since 2×3180^{2} = 20224800, which contains 22 as substring.

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

3180 is an undulating number in base 16.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3181) 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, 34 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (378).

3180 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 3180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536).

3180 is an abundant number, since it is smaller than the sum of its proper divisors (5892).

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

3180 is a wasteful number, since it uses less digits than its factorization.

3180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3180 is about 56.3914887195. The cubic root of 3180 is about 14.7053615502.

The spelling of 3180 in words is "three thousand, one hundred eighty".

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