3830200 has 48 divisors (see below), whose sum is σ = 9720360. Its totient is φ = 1392000.

The previous prime is 3830161. The next prime is 3830207. The reversal of 3830200 is 20383.

3830200 = T₈₇ + T₈₈ + ... + T₂₈₆.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330 + ... + 3070.

Almost surely, 2^3830200 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 3830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860180).

3830200 is an abundant number, since it is smaller than the sum of its proper divisors (5890160).

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

3830200 is a wasteful number, since it uses less digits than its factorization.

3830200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3830200 is about 1957.0896760241. The cubic root of 3830200 is about 156.4613779151.

Adding to 3830200 its reverse (20383), we get a palindrome (3850583).

The spelling of 3830200 in words is "three million, eight hundred thirty thousand, two hundred".