3223946880 has 512 divisors, whose sum is σ = 14241484800. Its totient is φ = 669634560.

The previous prime is 3223946879. The next prime is 3223946899. The reversal of 3223946880 is 886493223.

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 63 ways as a sum of consecutive naturals, for example, 1329349 + ... + 1331771.

It is an arithmetic number, because the mean of its divisors is an integer number (27815400).

Almost surely, 2^3223946880 is an apocalyptic number.

3223946880 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 3223946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120742400).

3223946880 is an abundant number, since it is smaller than the sum of its proper divisors (11017537920).

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

3223946880 is a wasteful number, since it uses less digits than its factorization.

3223946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3223946880 is about 56779.8104963375. The cubic root of 3223946880 is about 1477.2793455431.

The spelling of 3223946880 in words is "three billion, two hundred twenty-three million, nine hundred forty-six thousand, eight hundred eighty".