3855200 has 72 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 1497600.

The previous prime is 3855197. The next prime is 3855211. The reversal of 3855200 is 25583.

3855200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 48761 + ... + 48839.

It is an arithmetic number, because the mean of its divisors is an integer number (134540).

Almost surely, 2^3855200 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 3855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

3855200 is an abundant number, since it is smaller than the sum of its proper divisors (5831680).

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

3855200 is a wasteful number, since it uses less digits than its factorization.

3855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 3855200 is about 1963.4663226040. The cubic root of 3855200 is about 156.8010516381.

The spelling of 3855200 in words is "three million, eight hundred fifty-five thousand, two hundred".