3321320841216 has 1008 divisors, whose sum is σ = 12145032453600. Its totient is φ = 891925364736.

The previous prime is 3321320841191. The next prime is 3321320841221. The reversal of 3321320841216 is 6121480231233.

3321320841216 is a `hidden beast` number, since 3 + 3 + 21 + 3 + 208 + 412 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3321320841216² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 26152132545 + ... + 26152132671.

Almost surely, 2^{3321320841216} is an apocalyptic number.

3321320841216 is a gapful number since it is divisible by the number (36) 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 3321320841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072516226800).

3321320841216 is an abundant number, since it is smaller than the sum of its proper divisors (8823711612384).

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

3321320841216 is an equidigital number, since it uses as much as digits as its factorization.

3321320841216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3321320841216 in words is "three trillion, three hundred twenty-one billion, three hundred twenty million, eight hundred forty-one thousand, two hundred sixteen".