3003003223200 has 288 divisors, whose sum is σ = 11091947569920. Its totient is φ = 783762278400.

The previous prime is 3003003223193. The next prime is 3003003223211. The reversal of 3003003223200 is 23223003003.

3003003223200 is a `hidden beast` number, since 300 + 300 + 32 + 2 + 32 + 0 + 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, 463821 + ... + 2494220.

It is an arithmetic number, because the mean of its divisors is an integer number (38513706840).

Almost surely, 2^{3003003223200} is an apocalyptic number.

3003003223200 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 3003003223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545973784960).

3003003223200 is an abundant number, since it is smaller than the sum of its proper divisors (8088944346720).

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

3003003223200 is a wasteful number, since it uses less digits than its factorization.

3003003223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958117 (or 2958098 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 3003003223200 its reverse (23223003003), we get a palindrome (3026226226203).

The spelling of 3003003223200 in words is "three trillion, three billion, three million, two hundred twenty-three thousand, two hundred".