3002227200 has 960 divisors, whose sum is σ = 13517349120. Its totient is φ = 637009920.

The previous prime is 3002227171. The next prime is 3002227219. The reversal of 3002227200 is 27222003.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41126364 + ... + 41126436.

It is an arithmetic number, because the mean of its divisors is an integer number (14080572).

Almost surely, 2^3002227200 is an apocalyptic number.

3002227200 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 3002227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758674560).

3002227200 is an abundant number, since it is smaller than the sum of its proper divisors (10515121920).

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

3002227200 is a wasteful number, since it uses less digits than its factorization.

3002227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3002227200 is about 54792.5834397321. The cubic root of 3002227200 is about 1442.6063907145.

Adding to 3002227200 its reverse (27222003), we get a palindrome (3029449203).

The spelling of 3002227200 in words is "three billion, two million, two hundred twenty-seven thousand, two hundred".