3831200 has 36 divisors (see below), whose sum is σ = 9354870. Its totient is φ = 1532160.

The previous prime is 3831199. The next prime is 3831221. The reversal of 3831200 is 21383.

3831200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1882384 + 1948816 = 1372^2 + 1396^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1595 + ... + 3194.

Almost surely, 2^3831200 is an apocalyptic number.

It is an amenable number.

3831200 is an abundant number, since it is smaller than the sum of its proper divisors (5523670).

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

3831200 is a wasteful number, since it uses less digits than its factorization.

3831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3831200 is about 1957.3451407455. The cubic root of 3831200 is about 156.4749931974.

Adding to 3831200 its reverse (21383), we get a palindrome (3852583).

The spelling of 3831200 in words is "three million, eight hundred thirty-one thousand, two hundred".