3488580845567 has 8 divisors (see below), whose sum is σ = 3506698364400. Its totient is φ = 3470467458304.

The previous prime is 3488580845557. The next prime is 3488580845569. The reversal of 3488580845567 is 7655480858843.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3488580845567 - 2²⁸ = 3488312410111 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3488580845567.

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 pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667484 + ... + 2724462.

It is an arithmetic number, because the mean of its divisors is an integer number (438337295550).

Almost surely, 2^{3488580845567} is an apocalyptic number.

3488580845567 is a deficient number, since it is larger than the sum of its proper divisors (18117518833).

3488580845567 is a wasteful number, since it uses less digits than its factorization.

3488580845567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065785.

The product of its (nonzero) digits is 1032192000, while the sum is 71.

The spelling of 3488580845567 in words is "three trillion, four hundred eighty-eight billion, five hundred eighty million, eight hundred forty-five thousand, five hundred sixty-seven".