3028730664960 has 1152 divisors, whose sum is σ = 14094352097280. Its totient is φ = 580917657600.

The previous prime is 3028730664907. The next prime is 3028730664991. The reversal of 3028730664960 is 694660378203.

3028730664960 is a `hidden beast` number, since 3 + 0 + 28 + 73 + 0 + 66 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 3028730664897 and 3028730664906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92235745 + ... + 92268575.

It is an arithmetic number, because the mean of its divisors is an integer number (12234680640).

Almost surely, 2^{3028730664960} is an apocalyptic number.

3028730664960 is a gapful number since it is divisible by the number (30) 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 3028730664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047176048640).

3028730664960 is an abundant number, since it is smaller than the sum of its proper divisors (11065621432320).

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

3028730664960 is a wasteful number, since it uses less digits than its factorization.

3028730664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32895 (or 32872 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3028730664960 in words is "three trillion, twenty-eight billion, seven hundred thirty million, six hundred sixty-four thousand, nine hundred sixty".