3853200 has 180 divisors, whose sum is σ = 14069040. Its totient is φ = 898560.

The previous prime is 3853193. The next prime is 3853211. The reversal of 3853200 is 23583.

3853200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 202791 + ... + 202809.

Almost surely, 2^3853200 is an apocalyptic number.

3853200 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 3853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034520).

3853200 is an abundant number, since it is smaller than the sum of its proper divisors (10215840).

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

3853200 is a wasteful number, since it uses less digits than its factorization.

3853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3853200 is about 1962.9569531704. The cubic root of 3853200 is about 156.7739318735.

Adding to 3853200 its reverse (23583), we get a palindrome (3876783).

The spelling of 3853200 in words is "three million, eight hundred fifty-three thousand, two hundred".