3004400 has 120 divisors (see below), whose sum is σ = 8764320. Its totient is φ = 967680.

The previous prime is 3004387. The next prime is 3004403. The reversal of 3004400 is 44003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81182 + ... + 81218.

It is an arithmetic number, because the mean of its divisors is an integer number (73036).

Almost surely, 2^3004400 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 3004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382160).

3004400 is an abundant number, since it is smaller than the sum of its proper divisors (5759920).

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

3004400 is a wasteful number, since it uses less digits than its factorization.

3004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3004400 is about 1733.3205127731. The cubic root of 3004400 is about 144.2954325662.

Adding to 3004400 its reverse (44003), we get a palindrome (3048403).

The spelling of 3004400 in words is "three million, four thousand, four hundred".