3004712784 has 60 divisors (see below), whose sum is σ = 8440391700. Its totient is φ = 997834752.

The previous prime is 3004712783. The next prime is 3004712791. The reversal of 3004712784 is 4872174003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 693795600 + 2310917184 = 26340^2 + 48072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004712783) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49 + ... + 77520.

It is an arithmetic number, because the mean of its divisors is an integer number (140673195).

Almost surely, 2^3004712784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004712784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220195850).

3004712784 is an abundant number, since it is smaller than the sum of its proper divisors (5435678916).

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

3004712784 is a wasteful number, since it uses less digits than its factorization.

3004712784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77852 (or 77843 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3004712784 is about 54815.2605028928. The cubic root of 3004712784 is about 1443.0043985960.

Adding to 3004712784 its reverse (4872174003), we get a palindrome (7876886787).

The spelling of 3004712784 in words is "three billion, four million, seven hundred twelve thousand, seven hundred eighty-four".