3005333220084 has 192 divisors, whose sum is σ = 8060009717760. Its totient is φ = 863922309120.

The previous prime is 3005333220077. The next prime is 3005333220221. The reversal of 3005333220084 is 4800223335003.

It is a congruent number.

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, 73554949 + ... + 73595795.

It is an arithmetic number, because the mean of its divisors is an integer number (41979217280).

Almost surely, 2^{3005333220084} 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 3005333220084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030004858880).

3005333220084 is an abundant number, since it is smaller than the sum of its proper divisors (5054676497676).

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

3005333220084 is a wasteful number, since it uses less digits than its factorization.

3005333220084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41230 (or 41228 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 3005333220084 its reverse (4800223335003), we get a palindrome (7805556555087).

The spelling of 3005333220084 in words is "three trillion, five billion, three hundred thirty-three million, two hundred twenty thousand, eighty-four".