3066828152304 has 640 divisors, whose sum is σ = 10141453762560. Its totient is φ = 778489823232.

The previous prime is 3066828152263. The next prime is 3066828152309. The reversal of 3066828152304 is 4032518286603.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066828152309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2528299602 + ... + 2528300814.

It is an arithmetic number, because the mean of its divisors is an integer number (15846021504).

Almost surely, 2^{3066828152304} 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 3066828152304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070726881280).

3066828152304 is an abundant number, since it is smaller than the sum of its proper divisors (7074625610256).

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

3066828152304 is a wasteful number, since it uses less digits than its factorization.

3066828152304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 3066828152304 in words is "three trillion, sixty-six billion, eight hundred twenty-eight million, one hundred fifty-two thousand, three hundred four".