3828800 has 42 divisors (see below), whose sum is σ = 9425178. Its totient is φ = 1530880.

The previous prime is 3828751. The next prime is 3828821. The reversal of 3828800 is 88283.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 3810304 = 136^2 + 1952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 404 + ... + 2796.

It is an arithmetic number, because the mean of its divisors is an integer number (224409).

Almost surely, 2^3828800 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 3828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712589).

3828800 is an abundant number, since it is smaller than the sum of its proper divisors (5596378).

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

3828800 is a wasteful number, since it uses less digits than its factorization.

3828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 3828800 is about 1956.7319693816. The cubic root of 3828800 is about 156.4423125379.

The spelling of 3828800 in words is "three million, eight hundred twenty-eight thousand, eight hundred".