3868200 has 144 divisors (see below), whose sum is σ = 14894880. Its totient is φ = 881280.

The previous prime is 3868187. The next prime is 3868201. The reversal of 3868200 is 28683.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3868201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12447 + ... + 12753.

Almost surely, 2^3868200 is an apocalyptic number.

3868200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447440).

3868200 is an abundant number, since it is smaller than the sum of its proper divisors (11026680).

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

3868200 is a wasteful number, since it uses less digits than its factorization.

3868200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3868200 is about 1966.7740083701. The cubic root of 3868200 is about 156.9771018845.

The spelling of 3868200 in words is "three million, eight hundred sixty-eight thousand, two hundred".