3223088198820 has 432 divisors, whose sum is σ = 12367368664560. Its totient is φ = 674629337088.

The previous prime is 3223088198773. The next prime is 3223088198861. The reversal of 3223088198820 is 288918803223.

It is a happy number.

3223088198820 is a `hidden beast` number, since 322 + 30 + 88 + 198 + 8 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 172817316 + 3222915381504 = 13146^2 + 1795248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5257296 + ... + 5838264.

It is an arithmetic number, because the mean of its divisors is an integer number (28628168205).

Almost surely, 2^{3223088198820} is an apocalyptic number.

3223088198820 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 3223088198820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183684332280).

3223088198820 is an abundant number, since it is smaller than the sum of its proper divisors (9144280465740).

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

3223088198820 is a wasteful number, since it uses less digits than its factorization.

3223088198820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581052 (or 581040 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 3223088198820 in words is "three trillion, two hundred twenty-three billion, eighty-eight million, one hundred ninety-eight thousand, eight hundred twenty".