3005005052840 has 128 divisors (see below), whose sum is σ = 7909803740160. Its totient is φ = 1006035738624.

The previous prime is 3005005052809. The next prime is 3005005052849. The reversal of 3005005052840 is 482505005003.

It is a junction number, because it is equal to n+sod(n) for n = 3005005052797 and 3005005052806.

It is not an unprimeable number, because it can be changed into a prime (3005005052849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5434604 + ... + 5961956.

It is an arithmetic number, because the mean of its divisors is an integer number (61795341720).

Almost surely, 2^{3005005052840} 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 3005005052840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954901870080).

3005005052840 is an abundant number, since it is smaller than the sum of its proper divisors (4904798687320).

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

3005005052840 is a wasteful number, since it uses less digits than its factorization.

3005005052840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527851 (or 527847 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 3005005052840 in words is "three trillion, five billion, five million, fifty-two thousand, eight hundred forty".