3228009004800 has 324 divisors, whose sum is σ = 12042642231984. Its totient is φ = 823375872000.

The previous prime is 3228009004793. The next prime is 3228009004807. The reversal of 3228009004800 is 84009008223.

3228009004800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3228009004793) and next prime (3228009004807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228009004807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106500 + ... + 2543100.

Almost surely, 2^{3228009004800} is an apocalyptic number.

3228009004800 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 3228009004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021321115992).

3228009004800 is an abundant number, since it is smaller than the sum of its proper divisors (8814633227184).

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

3228009004800 is a wasteful number, since it uses less digits than its factorization.

3228009004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436656 (or 2436634 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3228009004800 in words is "three trillion, two hundred twenty-eight billion, nine million, four thousand, eight hundred".