3044304400 has 120 divisors (see below), whose sum is σ = 7478063784. Its totient is φ = 1190707200.

The previous prime is 3044304397. The next prime is 3044304409. The reversal of 3044304400 is 44034403.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1638954256 + 1405350144 = 40484^2 + 37488^2 .

It is not an unprimeable number, because it can be changed into a prime (3044304409) 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, 4000020 + ... + 4000780.

Almost surely, 2^3044304400 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 3044304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739031892).

3044304400 is an abundant number, since it is smaller than the sum of its proper divisors (4433759384).

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

3044304400 is a wasteful number, since it uses less digits than its factorization.

3044304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3044304400 is about 55175.2154504176. The cubic root of 3044304400 is about 1449.3146820924.

Adding to 3044304400 its reverse (44034403), we get a palindrome (3088338803).

It can be divided in two parts, 3044 and 304400, that multiplied together give a square (926593600 = 30440²).

The spelling of 3044304400 in words is "three billion, forty-four million, three hundred four thousand, four hundred".