3204960 has 96 divisors (see below), whose sum is σ = 11031552. Its totient is φ = 775680.

The previous prime is 3204953. The next prime is 3204961. The reversal of 3204960 is 694023.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 3204960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3204961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4977 + ... + 5583.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 2^3204960 is an apocalyptic number.

3204960 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 3204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776).

3204960 is an abundant number, since it is smaller than the sum of its proper divisors (7826592).

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

3204960 is a wasteful number, since it uses less digits than its factorization.

3204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3204960 is about 1790.2402073465. The cubic root of 3204960 is about 147.4373572932.

Adding to 3204960 its reverse (694023), we get a palindrome (3898983).

The spelling of 3204960 in words is "three million, two hundred four thousand, nine hundred sixty".