3864200 has 36 divisors (see below), whose sum is σ = 9049365. Its totient is φ = 1534560.

The previous prime is 3864197. The next prime is 3864233. The reversal of 3864200 is 24683.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3864200 is digitally balanced in base 5, 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 2 ways, for example, as 3786916 + 77284 = 1946^2 + 278^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1390.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27731 + ... + 27869.

Almost surely, 2^3864200 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 3864200

3864200 is an abundant number, since it is smaller than the sum of its proper divisors (5185165).

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

3864200 is a wasteful number, since it uses less digits than its factorization.

3864200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3864200 is about 1965.7568516986. The cubic root of 3864200 is about 156.9229746448.

Multiplying 3864200 by its product of nonzero digits (1152), we get a square (4451558400 = 66720²).

Adding to 3864200 its reverse (24683), we get a palindrome (3888883).

The spelling of 3864200 in words is "three million, eight hundred sixty-four thousand, two hundred".