3004411224105 has 24 divisors (see below), whose sum is σ = 5208932593800. Its totient is φ = 1601956815360.

The previous prime is 3004411224049. The next prime is 3004411224107. The reversal of 3004411224105 is 5014221144003.

3004411224105 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 411 + 2 + 241 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193611440169 + 2810799783936 = 440013^2 + 1676544^2 .

It is not a de Polignac number, because 3004411224105 - 2¹⁰ = 3004411223081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3004411224107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8062386 + ... + 8426795.

It is an arithmetic number, because the mean of its divisors is an integer number (217038858075).

Almost surely, 2^{3004411224105} is an apocalyptic number.

It is an amenable number.

3004411224105 is a deficient number, since it is larger than the sum of its proper divisors (2204521369695).

3004411224105 is a wasteful number, since it uses less digits than its factorization.

3004411224105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16493241 (or 16493238 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 3004411224105 its reverse (5014221144003), we get a palindrome (8018632368108).

The spelling of 3004411224105 in words is "three trillion, four billion, four hundred eleven million, two hundred twenty-four thousand, one hundred five".