3004114016 has 24 divisors (see below), whose sum is σ = 6225632280. Its totient is φ = 1423001088.

The previous prime is 3004113989. The next prime is 3004114037. The reversal of 3004114016 is 6104114003.

It is a super-3 number, since 3×3004114016³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2469881 + ... + 2471096.

It is an arithmetic number, because the mean of its divisors is an integer number (259401345).

Almost surely, 2^3004114016 is an apocalyptic number.

It is an amenable number.

3004114016 is an abundant number, since it is smaller than the sum of its proper divisors (3221518264).

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

3004114016 is a wasteful number, since it uses less digits than its factorization.

3004114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941006 (or 4940998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3004114016 is about 54809.7985400421. The cubic root of 3004114016 is about 1442.9085400432.

Adding to 3004114016 its reverse (6104114003), we get a palindrome (9108228019).

The spelling of 3004114016 in words is "three billion, four million, one hundred fourteen thousand, sixteen".