3830728200 has 384 divisors, whose sum is σ = 13529134080. Its totient is φ = 889574400.

The previous prime is 3830728199. The next prime is 3830728241. The reversal of 3830728200 is 28270383.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 23501319 + ... + 23501481.

It is an arithmetic number, because the mean of its divisors is an integer number (35232120).

Almost surely, 2^3830728200 is an apocalyptic number.

3830728200 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 3830728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764567040).

3830728200 is an abundant number, since it is smaller than the sum of its proper divisors (9698405880).

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

3830728200 is a wasteful number, since it uses less digits than its factorization.

3830728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3830728200 is about 61892.8768114716. The cubic root of 3830728200 is about 1564.6856980245.

Adding to 3830728200 its reverse (28270383), we get a palindrome (3858998583).

The spelling of 3830728200 in words is "three billion, eight hundred thirty million, seven hundred twenty-eight thousand, two hundred".