3072148608 has 384 divisors, whose sum is σ = 9619660800. Its totient is φ = 864829440.

The previous prime is 3072148601. The next prime is 3072148621. The reversal of 3072148608 is 8068412703.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3072148601) 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 47 ways as a sum of consecutive naturals, for example, 65364841 + ... + 65364887.

It is an arithmetic number, because the mean of its divisors is an integer number (25051200).

Almost surely, 2^3072148608 is an apocalyptic number.

3072148608 is a gapful number since it is divisible by the number (38) 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 3072148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809830400).

3072148608 is an abundant number, since it is smaller than the sum of its proper divisors (6547512192).

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

3072148608 is a wasteful number, since it uses less digits than its factorization.

3072148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3072148608 is about 55426.9664333166. The cubic root of 3072148608 is about 1453.7199147434.

The spelling of 3072148608 in words is "three billion, seventy-two million, one hundred forty-eight thousand, six hundred eight".