3323206656000 has 2688 divisors, whose sum is σ = 15663259422720. Its totient is φ = 687439872000.

The previous prime is 3323206655971. The next prime is 3323206656019. The reversal of 3323206656000 is 6566023233.

3323206656000 is a `hidden beast` number, since 3 + 3 + 2 + 32 + 0 + 66 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×3323206656000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14902271889 + ... + 14902272111.

It is an arithmetic number, because the mean of its divisors is an integer number (5827105440).

Almost surely, 2^{3323206656000} is an apocalyptic number.

3323206656000 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 3323206656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7831629711360).

3323206656000 is an abundant number, since it is smaller than the sum of its proper divisors (12340052766720).

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

3323206656000 is a wasteful number, since it uses less digits than its factorization.

3323206656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 3323206656000 in words is "three trillion, three hundred twenty-three billion, two hundred six million, six hundred fifty-six thousand".