3228006206880 has 2304 divisors, whose sum is σ = 15287021568000. Its totient is φ = 624010936320.

The previous prime is 3228006206857. The next prime is 3228006206923. The reversal of 3228006206880 is 886026008223.

3228006206880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2083928346 + ... + 2083929894.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992000).

Almost surely, 2^{3228006206880} is an apocalyptic number.

3228006206880 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 3228006206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643510784000).

3228006206880 is an abundant number, since it is smaller than the sum of its proper divisors (12059015361120).

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

3228006206880 is a wasteful number, since it uses less digits than its factorization.

3228006206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3228006206880 in words is "three trillion, two hundred twenty-eight billion, six million, two hundred six thousand, eight hundred eighty".