3322833217920 has 640 divisors, whose sum is σ = 12332323872000. Its totient is φ = 851688898560.

The previous prime is 3322833217853. The next prime is 3322833218011. The reversal of 3322833217920 is 297123382233.

3322833217920 is a `hidden beast` number, since 3 + 3 + 228 + 332 + 1 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3322833217920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 239442022 + ... + 239455898.

It is an arithmetic number, because the mean of its divisors is an integer number (19269256050).

Almost surely, 2^{3322833217920} is an apocalyptic number.

3322833217920 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 3322833217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166161936000).

3322833217920 is an abundant number, since it is smaller than the sum of its proper divisors (9009490654080).

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

3322833217920 is a wasteful number, since it uses less digits than its factorization.

3322833217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14088 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3322833217920 in words is "three trillion, three hundred twenty-two billion, eight hundred thirty-three million, two hundred seventeen thousand, nine hundred twenty".