3005344220040 has 192 divisors, whose sum is σ = 10343043135360. Its totient is φ = 754200545280.

The previous prime is 3005344220003. The next prime is 3005344220083. The reversal of 3005344220040 is 400224435003.

3005344220040 is a `hidden beast` number, since 30 + 0 + 534 + 42 + 20 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3005344219986 and 3005344220013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72384967 + ... + 72426473.

It is an arithmetic number, because the mean of its divisors is an integer number (53870016330).

Almost surely, 2^{3005344220040} is an apocalyptic number.

3005344220040 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 3005344220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171521567680).

3005344220040 is an abundant number, since it is smaller than the sum of its proper divisors (7337698915320).

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

3005344220040 is a wasteful number, since it uses less digits than its factorization.

3005344220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53372 (or 53365 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 3005344220040 its reverse (400224435003), we get a palindrome (3405568655043).

The spelling of 3005344220040 in words is "three trillion, five billion, three hundred forty-four million, two hundred twenty thousand, forty".