3003242400 has 288 divisors, whose sum is σ = 10941174720. Its totient is φ = 795018240.

The previous prime is 3003242399. The next prime is 3003242477. The reversal of 3003242400 is 42423003.

3003242400 is a `hidden beast` number, since 300 + 324 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3520374 + ... + 3521226.

It is an arithmetic number, because the mean of its divisors is an integer number (37990190).

Almost surely, 2^3003242400 is an apocalyptic number.

3003242400 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 3003242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470587360).

3003242400 is an abundant number, since it is smaller than the sum of its proper divisors (7937932320).

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

3003242400 is a wasteful number, since it uses less digits than its factorization.

3003242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3003242400 is about 54801.8466842131. The cubic root of 3003242400 is about 1442.7689776724.

Adding to 3003242400 its reverse (42423003), we get a palindrome (3045665403).

The spelling of 3003242400 in words is "three billion, three million, two hundred forty-two thousand, four hundred".