3840200 has 96 divisors (see below), whose sum is σ = 11040960. Its totient is φ = 1209600.

The previous prime is 3840191. The next prime is 3840203. The reversal of 3840200 is 20483.

It is not an unprimeable number, because it can be changed into a prime (3840203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18095 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (115010).

Almost surely, 2^3840200 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 3840200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520480).

3840200 is an abundant number, since it is smaller than the sum of its proper divisors (7200760).

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

3840200 is a wasteful number, since it uses less digits than its factorization.

3840200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3840200 is about 1959.6428245984. The cubic root of 3840200 is about 156.5974242576.

Adding to 3840200 its reverse (20483), we get a palindrome (3860683).

The spelling of 3840200 in words is "three million, eight hundred forty thousand, two hundred".