3004680601 has 16 divisors (see below), whose sum is σ = 3398056704. Its totient is φ = 2636023104.

The previous prime is 3004680587. The next prime is 3004680617. The reversal of 3004680601 is 1060864003.

It is not a de Polignac number, because 3004680601 - 2¹¹ = 3004678553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3004680601.

It is not an unprimeable number, because it can be changed into a prime (3004680641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14940 + ... + 78946.

It is an arithmetic number, because the mean of its divisors is an integer number (212378544).

Almost surely, 2^3004680601 is an apocalyptic number.

It is an amenable number.

3004680601 is a deficient number, since it is larger than the sum of its proper divisors (393376103).

3004680601 is a wasteful number, since it uses less digits than its factorization.

3004680601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64200.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3004680601 is about 54814.9669433450. The cubic root of 3004680601 is about 1442.9992466475. Note that the first 3 decimals are identical.

The spelling of 3004680601 in words is "three billion, four million, six hundred eighty thousand, six hundred one".