3853222200 has 288 divisors, whose sum is σ = 13609664640. Its totient is φ = 975110400.

The previous prime is 3853222171. The next prime is 3853222201. The reversal of 3853222200 is 22223583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853222201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6747915 + ... + 6748485.

It is an arithmetic number, because the mean of its divisors is an integer number (47255780).

Almost surely, 2^3853222200 is an apocalyptic number.

3853222200 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 3853222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804832320).

3853222200 is an abundant number, since it is smaller than the sum of its proper divisors (9756442440).

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

3853222200 is a wasteful number, since it uses less digits than its factorization.

3853222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3853222200 is about 62074.3280269710. The cubic root of 3853222200 is about 1567.7423295441.

Adding to 3853222200 its reverse (22223583), we get a palindrome (3875445783).

The spelling of 3853222200 in words is "three billion, eight hundred fifty-three million, two hundred twenty-two thousand, two hundred".