3228412800 has 384 divisors, whose sum is σ = 11174508000. Its totient is φ = 818380800.

The previous prime is 3228412787. The next prime is 3228412801. The reversal of 3228412800 is 82148223.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228412801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21667126 + ... + 21667274.

Almost surely, 2^3228412800 is an apocalyptic number.

3228412800 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 3228412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587254000).

3228412800 is an abundant number, since it is smaller than the sum of its proper divisors (7946095200).

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

3228412800 is a wasteful number, since it uses less digits than its factorization.

3228412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 3228412800 is about 56819.1235412867. The cubic root of 3228412800 is about 1477.9611565492.

The spelling of 3228412800 in words is "three billion, two hundred twenty-eight million, four hundred twelve thousand, eight hundred".