3000569725440 has 960 divisors, whose sum is σ = 12464716492800. Its totient is φ = 652215877632.

The previous prime is 3000569725343. The next prime is 3000569725487. The reversal of 3000569725440 is 445279650003.

3000569725440 is a `hidden beast` number, since 30 + 0 + 0 + 5 + 6 + 9 + 72 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 663987501 + ... + 663992019.

It is an arithmetic number, because the mean of its divisors is an integer number (12984079680).

Almost surely, 2^{3000569725440} is an apocalyptic number.

3000569725440 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 3000569725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232358246400).

3000569725440 is an abundant number, since it is smaller than the sum of its proper divisors (9464146767360).

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

3000569725440 is a wasteful number, since it uses less digits than its factorization.

3000569725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3000569725440 in words is "three trillion, five hundred sixty-nine million, seven hundred twenty-five thousand, four hundred forty".