3228768000 has 576 divisors, whose sum is σ = 12359168640. Its totient is φ = 829440000.

The previous prime is 3228767953. The next prime is 3228768013. The reversal of 3228768000 is 8678223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×3228768000³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31967950 + ... + 31968050.

It is an arithmetic number, because the mean of its divisors is an integer number (21456890).

Almost surely, 2^3228768000 is an apocalyptic number.

3228768000 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 3228768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179584320).

3228768000 is an abundant number, since it is smaller than the sum of its proper divisors (9130400640).

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

3228768000 is a wasteful number, since it uses less digits than its factorization.

3228768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3228768000 is about 56822.2491635099. The cubic root of 3228768000 is about 1478.0153578533.

The spelling of 3228768000 in words is "three billion, two hundred twenty-eight million, seven hundred sixty-eight thousand".