3004006111067 has 16 divisors (see below), whose sum is σ = 3522776964000. Its totient is φ = 2536399401984.

The previous prime is 3004006111021. The next prime is 3004006111103. The reversal of 3004006111067 is 7601116004003.

It is a cyclic number.

It is not a de Polignac number, because 3004006111067 - 2⁶ = 3004006111003 is a prime.

It is a super-2 number, since 2×3004006111067² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3004006111367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209681942 + ... + 209696267.

It is an arithmetic number, because the mean of its divisors is an integer number (220173560250).

Almost surely, 2^{3004006111067} is an apocalyptic number.

3004006111067 is a deficient number, since it is larger than the sum of its proper divisors (518770852933).

3004006111067 is a wasteful number, since it uses less digits than its factorization.

3004006111067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419378270.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 3004006111067 in words is "three trillion, four billion, six million, one hundred eleven thousand, sixty-seven".