3863200 has 72 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 1401600.

The previous prime is 3863183. The next prime is 3863201. The reversal of 3863200 is 23683.

3863200 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 (22).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863201) 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, 8581 + ... + 9019.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 2^3863200 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 3863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

3863200 is an abundant number, since it is smaller than the sum of its proper divisors (6448640).

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

3863200 is a wasteful number, since it uses less digits than its factorization.

3863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3863200 is about 1965.5024802833. The cubic root of 3863200 is about 156.9094369990.

Adding to 3863200 its reverse (23683), we get a palindrome (3886883).

The spelling of 3863200 in words is "three million, eight hundred sixty-three thousand, two hundred".