3078946728 has 320 divisors, whose sum is σ = 10245312000. Its totient is φ = 851627520.

The previous prime is 3078946699. The next prime is 3078946747. The reversal of 3078946728 is 8276498703.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13806825 + ... + 13807047.

It is an arithmetic number, because the mean of its divisors is an integer number (32016600).

Almost surely, 2^3078946728 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 3078946728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122656000).

3078946728 is an abundant number, since it is smaller than the sum of its proper divisors (7166365272).

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

3078946728 is a wasteful number, since it uses less digits than its factorization.

3078946728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3078946728 is about 55488.2575686064. The cubic root of 3078946728 is about 1454.7913995772.

The spelling of 3078946728 in words is "three billion, seventy-eight million, nine hundred forty-six thousand, seven hundred twenty-eight".