3320361628800 has 384 divisors, whose sum is σ = 11518381824000. Its totient is φ = 838366433280.

The previous prime is 3320361628751. The next prime is 3320361628813. The reversal of 3320361628800 is 88261630233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3320361628800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434655381 + ... + 434663019.

It is an arithmetic number, because the mean of its divisors is an integer number (29995786000).

Almost surely, 2^{3320361628800} is an apocalyptic number.

3320361628800 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 3320361628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759190912000).

3320361628800 is an abundant number, since it is smaller than the sum of its proper divisors (8198020195200).

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

3320361628800 is a wasteful number, since it uses less digits than its factorization.

3320361628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068 (or 10051 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 3320361628800 in words is "three trillion, three hundred twenty billion, three hundred sixty-one million, six hundred twenty-eight thousand, eight hundred".