3065628768 has 144 divisors (see below), whose sum is σ = 8734086144. Its totient is φ = 940902400.

The previous prime is 3065628757. The next prime is 3065628823. The reversal of 3065628768 is 8678265603.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3065628768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1302793 + ... + 1305143.

It is an arithmetic number, because the mean of its divisors is an integer number (60653376).

Almost surely, 2^3065628768 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 3065628768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367043072).

3065628768 is an abundant number, since it is smaller than the sum of its proper divisors (5668457376).

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

3065628768 is a wasteful number, since it uses less digits than its factorization.

3065628768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 3065628768 is about 55368.1205026864. The cubic root of 3065628768 is about 1452.6908050162.

The spelling of 3065628768 in words is "three billion, sixty-five million, six hundred twenty-eight thousand, seven hundred sixty-eight".