3219228800 has 216 divisors, whose sum is σ = 8593422735. Its totient is φ = 1191403520.

The previous prime is 3219228769. The next prime is 3219228827. The reversal of 3219228800 is 88229123.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2096174656 + 1123054144 = 45784^2 + 33512^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40120.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54563171 + ... + 54563229.

Almost surely, 2^3219228800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3219228800

3219228800 is an abundant number, since it is smaller than the sum of its proper divisors (5374193935).

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

3219228800 is an equidigital number, since it uses as much as digits as its factorization.

3219228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 3219228800 is about 56738.2481224086. The cubic root of 3219228800 is about 1476.5583530039.

The spelling of 3219228800 in words is "three billion, two hundred nineteen million, two hundred twenty-eight thousand, eight hundred".