3324942240000 has 720 divisors, whose sum is σ = 11706456484800. Its totient is φ = 835190784000.

The previous prime is 3324942239987. The next prime is 3324942240031. The reversal of 3324942240000 is 422494233.

It is a super-2 number, since 2×3324942240000² (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 79 ways as a sum of consecutive naturals, for example, 1760159056 + ... + 1760160944.

It is an arithmetic number, because the mean of its divisors is an integer number (16258967340).

Almost surely, 2^{3324942240000} is an apocalyptic number.

3324942240000 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 3324942240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853228242400).

3324942240000 is an abundant number, since it is smaller than the sum of its proper divisors (8381514244800).

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

3324942240000 is a wasteful number, since it uses less digits than its factorization.

3324942240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 3324942240000 in words is "three trillion, three hundred twenty-four billion, nine hundred forty-two million, two hundred forty thousand".