3984000 has 128 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1049600.

The previous prime is 3983999. The next prime is 3984031. The reversal of 3984000 is 4893.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47959 + ... + 48041.

Almost surely, 2^3984000 is an apocalyptic number.

3984000 is a gapful number since it is divisible by the number (30) 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 3984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

3984000 is an abundant number, since it is smaller than the sum of its proper divisors (9382080).

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

3984000 is an equidigital number, since it uses as much as digits as its factorization.

3984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3984000 is about 1995.9959919799. The cubic root of 3984000 is about 158.5281688898.

Adding to 3984000 its reverse (4893), we get a palindrome (3988893).

The spelling of 3984000 in words is "three million, nine hundred eighty-four thousand".