3079647648 has 576 divisors, whose sum is σ = 12100233600. Its totient is φ = 750919680.

The previous prime is 3079647643. The next prime is 3079647667. The reversal of 3079647648 is 8467469703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3079647594 and 3079647603.

It is not an unprimeable number, because it can be changed into a prime (3079647643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7916638 + ... + 7917026.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^3079647648 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 3079647648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050116800).

3079647648 is an abundant number, since it is smaller than the sum of its proper divisors (9020585952).

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

3079647648 is a wasteful number, since it uses less digits than its factorization.

3079647648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3079647648 is about 55494.5731400828. The cubic root of 3079647648 is about 1454.9017852719.

The spelling of 3079647648 in words is "three billion, seventy-nine million, six hundred forty-seven thousand, six hundred forty-eight".