3006294912 has 192 divisors, whose sum is σ = 9445363200. Its totient is φ = 949169664.

The previous prime is 3006294911. The next prime is 3006294953. The reversal of 3006294912 is 2194926003.

It is a tau number, because it is divible by the number of its divisors (192).

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 (3006294911) 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 23 ways as a sum of consecutive naturals, for example, 588433 + ... + 593519.

It is an arithmetic number, because the mean of its divisors is an integer number (49194600).

Almost surely, 2^3006294912 is an apocalyptic number.

3006294912 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 3006294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722681600).

3006294912 is an abundant number, since it is smaller than the sum of its proper divisors (6439068288).

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

3006294912 is an equidigital number, since it uses as much as digits as its factorization.

3006294912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3006294912 is about 54829.6900593100. The cubic root of 3006294912 is about 1443.2576249149.

The spelling of 3006294912 in words is "three billion, six million, two hundred ninety-four thousand, nine hundred twelve".