3872200 has 48 divisors (see below), whose sum is σ = 9486000. Its totient is φ = 1465920.

The previous prime is 3872153. The next prime is 3872201. The reversal of 3872200 is 22783.

It is a happy number.

3872200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3872201) 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, 3291 + ... + 4309.

It is an arithmetic number, because the mean of its divisors is an integer number (197625).

Almost surely, 2^3872200 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 3872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743000).

3872200 is an abundant number, since it is smaller than the sum of its proper divisors (5613800).

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

3872200 is a wasteful number, since it uses less digits than its factorization.

3872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 3872200 is about 1967.7906392703. The cubic root of 3872200 is about 157.0311918228.

Adding to 3872200 its reverse (22783), we get a palindrome (3894983).

It can be divided in two parts, 3872 and 200, that multiplied together give a square (774400 = 880²).

The spelling of 3872200 in words is "three million, eight hundred seventy-two thousand, two hundred".