3322386228000 has 1536 divisors, whose sum is σ = 13713394286592. Its totient is φ = 685891584000.

The previous prime is 3322386227989. The next prime is 3322386228047. The reversal of 3322386228000 is 8226832233.

It is a super-2 number, since 2×3322386228000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3322386228000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3745643557 + ... + 3745644443.

It is an arithmetic number, because the mean of its divisors is an integer number (8927991072).

Almost surely, 2^{3322386228000} is an apocalyptic number.

3322386228000 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 3322386228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856697143296).

3322386228000 is an abundant number, since it is smaller than the sum of its proper divisors (10391008058592).

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

3322386228000 is a wasteful number, since it uses less digits than its factorization.

3322386228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 3322386228000 in words is "three trillion, three hundred twenty-two billion, three hundred eighty-six million, two hundred twenty-eight thousand".