3322840810800 has 960 divisors, whose sum is σ = 13222371999744. Its totient is φ = 696787660800.

The previous prime is 3322840810787. The next prime is 3322840810831. The reversal of 3322840810800 is 80180482233.

It is a super-2 number, since 2×3322840810800² (a number of 26 digits) contains 22 as substring.

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, 507533127 + ... + 507539673.

Almost surely, 2^{3322840810800} is an apocalyptic number.

3322840810800 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 3322840810800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611185999872).

3322840810800 is an abundant number, since it is smaller than the sum of its proper divisors (9899531188944).

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

3322840810800 is a wasteful number, since it uses less digits than its factorization.

3322840810800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 3322840810800 in words is "three trillion, three hundred twenty-two billion, eight hundred forty million, eight hundred ten thousand, eight hundred".