3320005744000 has 384 divisors, whose sum is σ = 9163350050400. Its totient is φ = 1195251200000.

The previous prime is 3320005743941. The next prime is 3320005744007. The reversal of 3320005744000 is 4475000233.

It is a super-2 number, since 2×3320005744000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3320005744000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320005744007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195527511 + ... + 195544489.

Almost surely, 2^{3320005744000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320005744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581675025200).

3320005744000 is an abundant number, since it is smaller than the sum of its proper divisors (5843344306400).

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

3320005744000 is a wasteful number, since it uses less digits than its factorization.

3320005744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17131 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The spelling of 3320005744000 in words is "three trillion, three hundred twenty billion, five million, seven hundred forty-four thousand".