3352800381000 has 1024 divisors, whose sum is σ = 12587316019200. Its totient is φ = 726993792000.

The previous prime is 3352800380971. The next prime is 3352800381017. The reversal of 3352800381000 is 1830082533.

It is a super-2 number, since 2×3352800381000² (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 255 ways as a sum of consecutive naturals, for example, 8846438811 + ... + 8846439189.

It is an arithmetic number, because the mean of its divisors is an integer number (12292300800).

Almost surely, 2^{3352800381000} is an apocalyptic number.

3352800381000 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 3352800381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293658009600).

3352800381000 is an abundant number, since it is smaller than the sum of its proper divisors (9234515638200).

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

3352800381000 is a wasteful number, since it uses less digits than its factorization.

3352800381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 3352800381000 in words is "three trillion, three hundred fifty-two billion, eight hundred million, three hundred eighty-one thousand".