3004739712 has 224 divisors, whose sum is σ = 9669180780. Its totient is φ = 924162048.

The previous prime is 3004739707. The next prime is 3004739719. The reversal of 3004739712 is 2179374003.

It can be written as a sum of positive squares in 2 ways, for example, as 2892718656 + 112021056 = 53784^2 + 10584^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3004739719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1211818 + ... + 1214294.

Almost surely, 2^3004739712 is an apocalyptic number.

3004739712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834590390).

3004739712 is an abundant number, since it is smaller than the sum of its proper divisors (6664441068).

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

3004739712 is an equidigital number, since it uses as much as digits as its factorization.

3004739712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3004739712 is about 54815.5061273724. The cubic root of 3004739712 is about 1443.0087092805.

The spelling of 3004739712 in words is "three billion, four million, seven hundred thirty-nine thousand, seven hundred twelve".