3488580845568 has 720 divisors, whose sum is σ = 12864187889280. Its totient is φ = 919969726464.

The previous prime is 3488580845557. The next prime is 3488580845569. The reversal of 3488580845568 is 8655480858843.

3488580845568 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 58 + 0 + 8 + 4 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3488580845496 and 3488580845505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488580845569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362294578 + ... + 362304206.

It is an arithmetic number, because the mean of its divisors is an integer number (17866927624).

Almost surely, 2^{3488580845568} 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 3488580845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432093944640).

3488580845568 is an abundant number, since it is smaller than the sum of its proper divisors (9375607043712).

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

3488580845568 is an frugal number, since it uses more digits than its factorization.

3488580845568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9692 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 1179648000, while the sum is 72.

The spelling of 3488580845568 in words is "three trillion, four hundred eighty-eight billion, five hundred eighty million, eight hundred forty-five thousand, five hundred sixty-eight".