3228864800 has 270 divisors, whose sum is σ = 9425418219. Its totient is φ = 1080038400.

The previous prime is 3228864773. The next prime is 3228864811. The reversal of 3228864800 is 84688223.

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 20322064 + 3208542736 = 4508^2 + 56644^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40180.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78752780 + ... + 78752820.

Almost surely, 2^3228864800 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 3228864800

3228864800 is an abundant number, since it is smaller than the sum of its proper divisors (6196553419).

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

3228864800 is an frugal number, since it uses more digits than its factorization.

3228864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 3228864800 is about 56823.1009361510. The cubic root of 3228864800 is about 1478.0301282401.

The spelling of 3228864800 in words is "three billion, two hundred twenty-eight million, eight hundred sixty-four thousand, eight hundred".