3984768 has 64 divisors (see below), whose sum is σ = 11770800. Its totient is φ = 1327104.

The previous prime is 3984751. The next prime is 3984769. The reversal of 3984768 is 8674893.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2880 + ... + 4032.

Almost surely, 2^3984768 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 3984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885400).

3984768 is an abundant number, since it is smaller than the sum of its proper divisors (7786032).

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

3984768 is a wasteful number, since it uses less digits than its factorization.

3984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1158 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3984768 is about 1996.1883678651. The cubic root of 3984768 is about 158.5383547843.

The spelling of 3984768 in words is "three million, nine hundred eighty-four thousand, seven hundred sixty-eight".