3984864 has 96 divisors (see below), whose sum is σ = 11741184. Its totient is φ = 1175040.

The previous prime is 3984859. The next prime is 3984917. The reversal of 3984864 is 4684893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 38637 + ... + 38739.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 2^3984864 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 3984864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870592).

3984864 is an abundant number, since it is smaller than the sum of its proper divisors (7756320).

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

3984864 is a wasteful number, since it uses less digits than its factorization.

3984864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3984864 is about 1996.2124135472. The cubic root of 3984864 is about 158.5396279291.

It can be divided in two parts, 3 and 984864, that multiplied together give a palindrome (2954592).

The spelling of 3984864 in words is "three million, nine hundred eighty-four thousand, eight hundred sixty-four".