3131200 has 84 divisors (see below), whose sum is σ = 8188960. Its totient is φ = 1175040.

The previous prime is 3131173. The next prime is 3131203. The reversal of 3131200 is 21313.

3131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30349 + ... + 30451.

Almost surely, 2^3131200 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 3131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094480).

3131200 is an abundant number, since it is smaller than the sum of its proper divisors (5057760).

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

3131200 is a wasteful number, since it uses less digits than its factorization.

3131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3131200 is about 1769.5197088476. The cubic root of 3131200 is about 146.2975105582.

Adding to 3131200 its reverse (21313), we get a palindrome (3152513).

The spelling of 3131200 in words is "three million, one hundred thirty-one thousand, two hundred".