3004113312 has 48 divisors (see below), whose sum is σ = 8761999680. Its totient is φ = 1001370816.

The previous prime is 3004113269. The next prime is 3004113383. The reversal of 3004113312 is 2133114003.

3004113312 is a `hidden beast` number, since 300 + 41 + 13 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3004113312³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 7 ways as a sum of consecutive naturals, for example, 1737628 + ... + 1739355.

It is an arithmetic number, because the mean of its divisors is an integer number (182541660).

Almost surely, 2^3004113312 is an apocalyptic number.

3004113312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3004113312 is an abundant number, since it is smaller than the sum of its proper divisors (5757886368).

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

3004113312 is a wasteful number, since it uses less digits than its factorization.

3004113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477002 (or 3476988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3004113312 is about 54809.7921178324. The cubic root of 3004113312 is about 1442.9084273302.

Adding to 3004113312 its reverse (2133114003), we get a palindrome (5137227315).

The spelling of 3004113312 in words is "three billion, four million, one hundred thirteen thousand, three hundred twelve".