3001003200 has 1008 divisors, whose sum is σ = 13000792896. Its totient is φ = 648806400.

The previous prime is 3001003139. The next prime is 3001003219. The reversal of 3001003200 is 23001003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73195180 + ... + 73195220.

It is an arithmetic number, because the mean of its divisors is an integer number (12897612).

Almost surely, 2^3001003200 is an apocalyptic number.

3001003200 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 3001003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500396448).

3001003200 is an abundant number, since it is smaller than the sum of its proper divisors (9999789696).

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

3001003200 is a wasteful number, since it uses less digits than its factorization.

3001003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3001003200 is about 54781.4129062039. The cubic root of 3001003200 is about 1442.4103151432.

Adding to 3001003200 its reverse (23001003), we get a palindrome (3024004203).

The spelling of 3001003200 in words is "three billion, one million, three thousand, two hundred".