3854800 has 60 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 1471360.

The previous prime is 3854797. The next prime is 3854827. The reversal of 3854800 is 84583.

3854800 is digitally balanced in base 2 and base 5, because in such bases 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, 8991 + ... + 9409.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^3854800 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 3854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

3854800 is an abundant number, since it is smaller than the sum of its proper divisors (5832080).

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

3854800 is a wasteful number, since it uses less digits than its factorization.

3854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 3854800 is about 1963.3644592892. The cubic root of 3854800 is about 156.7956284357.

The spelling of 3854800 in words is "three million, eight hundred fifty-four thousand, eight hundred".