4384000 has 72 divisors (see below), whose sum is σ = 11000808. Its totient is φ = 1740800.

The previous prime is 4383991. The next prime is 4384013. The reversal of 4384000 is 4834.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 4260096 = 352^2 + 2064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31932 + ... + 32068.

It is an arithmetic number, because the mean of its divisors is an integer number (152789).

Almost surely, 2^4384000 is an apocalyptic number.

4384000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500404).

4384000 is an abundant number, since it is smaller than the sum of its proper divisors (6616808).

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

4384000 is an equidigital number, since it uses as much as digits as its factorization.

4384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

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

The square root of 4384000 is about 2093.8003725284. The cubic root of 4384000 is about 163.6653895387.

Adding to 4384000 its reverse (4834), we get a palindrome (4388834).

The spelling of 4384000 in words is "four million, three hundred eighty-four thousand".