3323727820800 has 720 divisors, whose sum is σ = 12958601455800. Its totient is φ = 839658700800.

The previous prime is 3323727820769. The next prime is 3323727820811. The reversal of 3323727820800 is 80287273233.

3323727820800 is a `hidden beast` number, since 3 + 3 + 2 + 372 + 78 + 208 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3323727820800² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78775710 + ... + 78817890.

Almost surely, 2^{3323727820800} is an apocalyptic number.

3323727820800 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 3323727820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479300727900).

3323727820800 is an abundant number, since it is smaller than the sum of its proper divisors (9634873635000).

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

3323727820800 is a wasteful number, since it uses less digits than its factorization.

3323727820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42244 (or 42210 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 3323727820800 in words is "three trillion, three hundred twenty-three billion, seven hundred twenty-seven million, eight hundred twenty thousand, eight hundred".