3221816229000 has 512 divisors, whose sum is σ = 11443723200000. Its totient is φ = 848751955200.

The previous prime is 3221816228993. The next prime is 3221816229013. The reversal of 3221816229000 is 9226181223.

It is a happy number.

3221816229000 is a `hidden beast` number, since 3 + 2 + 21 + 8 + 1 + 622 + 9 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181512126 + ... + 181529874.

It is an arithmetic number, because the mean of its divisors is an integer number (22351021875).

Almost surely, 2^{3221816229000} is an apocalyptic number.

3221816229000 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 3221816229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721861600000).

3221816229000 is an abundant number, since it is smaller than the sum of its proper divisors (8221906971000).

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

3221816229000 is an equidigital number, since it uses as much as digits as its factorization.

3221816229000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17874 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3221816229000 in words is "three trillion, two hundred twenty-one billion, eight hundred sixteen million, two hundred twenty-nine thousand".