3339082004544 has 336 divisors, whose sum is σ = 11660561814720. Its totient is φ = 934008330240.

The previous prime is 3339082004519. The next prime is 3339082004549. The reversal of 3339082004544 is 4454002809333.

3339082004544 is a `hidden beast` number, since 3 + 3 + 390 + 8 + 200 + 4 + 54 + 4 = 666.

It is a super-2 number, since 2×3339082004544² (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 3339082004544.

It is not an unprimeable number, because it can be changed into a prime (3339082004549) 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, 1473222 + ... + 2974650.

It is an arithmetic number, because the mean of its divisors is an integer number (34704053020).

Almost surely, 2^{3339082004544} 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 3339082004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830280907360).

3339082004544 is an abundant number, since it is smaller than the sum of its proper divisors (8321479810176).

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

3339082004544 is a wasteful number, since it uses less digits than its factorization.

3339082004544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501480 (or 1501458 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3339082004544 in words is "three trillion, three hundred thirty-nine billion, eighty-two million, four thousand, five hundred forty-four".