3320242228800 has 1680 divisors, whose sum is σ = 14832047438208. Its totient is φ = 711195033600.

The previous prime is 3320242228757. The next prime is 3320242228801. The reversal of 3320242228800 is 88222420233.

3320242228800 is a `hidden beast` number, since 3 + 3 + 202 + 422 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×3320242228800² (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 not an unprimeable number, because it can be changed into a prime (3320242228801) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 7109726167 + ... + 7109726633.

Almost surely, 2^{3320242228800} is an apocalyptic number.

3320242228800 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 3320242228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416023719104).

3320242228800 is an abundant number, since it is smaller than the sum of its proper divisors (11511805209408).

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

3320242228800 is a wasteful number, since it uses less digits than its factorization.

3320242228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 3320242228800 in words is "three trillion, three hundred twenty billion, two hundred forty-two million, two hundred twenty-eight thousand, eight hundred".