3150 has 36 divisors (see below), whose sum is σ = 9672. Its totient is φ = 720.

The previous prime is 3137. The next prime is 3163. The reversal of 3150 is 513.

3150 is nontrivially palindromic in base 8.

3150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3150 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3137) and next prime (3163).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 447 + ... + 453.

2³¹⁵⁰ is an apocalyptic number.

3150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836).

3150 is an abundant number, since it is smaller than the sum of its proper divisors (6522).

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

3150 is a wasteful number, since it uses less digits than its factorization.

3150 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 15, while the sum is 9.

The square root of 3150 is about 56.1248608016. The cubic root of 3150 is about 14.6589720888.

3150 divided by its product of nonzero digits (15) gives a triangular number (210 = T₂₀).

Adding to 3150 its reverse (513), we get a palindrome (3663).

It can be divided in two parts, 31 and 50, that added together give a 4-th power (81 = 3⁴).

The spelling of 3150 in words is "three thousand, one hundred fifty".