3824000 has 64 divisors (see below), whose sum is σ = 9547200. Its totient is φ = 1523200.

The previous prime is 3823991. The next prime is 3824017. The reversal of 3824000 is 4283.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 3824000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15881 + ... + 16119.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 2^3824000 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 3824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600).

3824000 is an abundant number, since it is smaller than the sum of its proper divisors (5723200).

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

3824000 is an equidigital number, since it uses as much as digits as its factorization.

3824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3824000 is about 1955.5050498529. The cubic root of 3824000 is about 156.3769102257.

Adding to 3824000 its reverse (4283), we get a palindrome (3828283).

The spelling of 3824000 in words is "three million, eight hundred twenty-four thousand".