3000708072960 has 640 divisors, whose sum is σ = 10930550400000. Its totient is φ = 696156291072.

The previous prime is 3000708072953. The next prime is 3000708072977. The reversal of 3000708072960 is 692708070003.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377491066 + ... + 377499014.

It is an arithmetic number, because the mean of its divisors is an integer number (17078985000).

Almost surely, 2^{3000708072960} is an apocalyptic number.

3000708072960 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 3000708072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465275200000).

3000708072960 is an abundant number, since it is smaller than the sum of its proper divisors (7929842327040).

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

3000708072960 is a wasteful number, since it uses less digits than its factorization.

3000708072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 3000708072960 in words is "three trillion, seven hundred eight million, seventy-two thousand, nine hundred sixty".