3204864 has 108 divisors (see below), whose sum is σ = 10044216. Its totient is φ = 976896.

The previous prime is 3204853. The next prime is 3204871. The reversal of 3204864 is 4684023.

3204864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29899 + ... + 30005.

It is an arithmetic number, because the mean of its divisors is an integer number (93002).

Almost surely, 2^3204864 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 3204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022108).

3204864 is an abundant number, since it is smaller than the sum of its proper divisors (6839352).

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

3204864 is a wasteful number, since it uses less digits than its factorization.

3204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3204864 is about 1790.2133951013. The cubic root of 3204864 is about 147.4358851866.

Adding to 3204864 its reverse (4684023), we get a palindrome (7888887).

It can be divided in two parts, 320 and 4864, that added together give a square (5184 = 72²).

The spelling of 3204864 in words is "three million, two hundred four thousand, eight hundred sixty-four".