3223448880000 has 1280 divisors, whose sum is σ = 11795737155840. Its totient is φ = 776355840000.

The previous prime is 3223448879951. The next prime is 3223448880011. The reversal of 3223448880000 is 888443223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19775759919 + ... + 19775760081.

It is an arithmetic number, because the mean of its divisors is an integer number (9215419653).

Almost surely, 2^{3223448880000} is an apocalyptic number.

3223448880000 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 3223448880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897868577920).

3223448880000 is an abundant number, since it is smaller than the sum of its proper divisors (8572288275840).

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

3223448880000 is a wasteful number, since it uses less digits than its factorization.

3223448880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 3223448880000 in words is "three trillion, two hundred twenty-three billion, four hundred forty-eight million, eight hundred eighty thousand".