3333730044480 has 448 divisors, whose sum is σ = 11642333921280. Its totient is φ = 801521049600.

The previous prime is 3333730044439. The next prime is 3333730044493. The reversal of 3333730044480 is 844400373333.

It is a super-3 number, since 3×3333730044480³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655340497 + ... + 655345583.

Almost surely, 2^{3333730044480} is an apocalyptic number.

3333730044480 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 3333730044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821166960640).

3333730044480 is an abundant number, since it is smaller than the sum of its proper divisors (8308603876800).

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

3333730044480 is a wasteful number, since it uses less digits than its factorization.

3333730044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 3333730044480 in words is "three trillion, three hundred thirty-three billion, seven hundred thirty million, forty-four thousand, four hundred eighty".