3003002022400 has 60 divisors (see below), whose sum is σ = 7440172151742. Its totient is φ = 1201200803840.

The previous prime is 3003002022359. The next prime is 3003002022421. The reversal of 3003002022400 is 42202003003.

It can be written as a sum of positive squares in 3 ways, for example, as 2900181752064 + 102820270336 = 1702992^2 + 320656^2 .

It is a super-2 number, since 2×3003002022400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117291967 + ... + 117317566.

Almost surely, 2^{3003002022400} is an apocalyptic number.

It is an amenable number.

3003002022400 is an abundant number, since it is smaller than the sum of its proper divisors (4437170129342).

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

3003002022400 is an equidigital number, since it uses as much as digits as its factorization.

3003002022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234609561 (or 234609540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 3003002022400 its reverse (42202003003), we get a palindrome (3045204025403).

The spelling of 3003002022400 in words is "three trillion, three billion, two million, twenty-two thousand, four hundred".