3844000 has 72 divisors (see below), whose sum is σ = 9759204. Its totient is φ = 1488000.

The previous prime is 3843977. The next prime is 3844019. The reversal of 3844000 is 4483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3844000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2598544 + 1245456 = 1612^2 + 1116^2 .

It is a plaindrome in base 7.

It is a zygodrome in base 7.

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, 123985 + ... + 124015.

Almost surely, 2^3844000 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 3844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879602).

3844000 is an abundant number, since it is smaller than the sum of its proper divisors (5915204).

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

3844000 is an equidigital number, since it uses as much as digits as its factorization.

3844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3844000 is about 1960.6121493044. The cubic root of 3844000 is about 156.6490599398.

Adding to 3844000 its reverse (4483), we get a palindrome (3848483).

The spelling of 3844000 in words is "three million, eight hundred forty-four thousand".