3488589490344 has 256 divisors, whose sum is σ = 11098164326400. Its totient is φ = 890849912832.

The previous prime is 3488589490283. The next prime is 3488589490387. The reversal of 3488589490344 is 4430949858843.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 5033902 + ... + 5684834.

It is an arithmetic number, because the mean of its divisors is an integer number (43352204400).

Almost surely, 2^{3488589490344} 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 3488589490344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549082163200).

3488589490344 is an abundant number, since it is smaller than the sum of its proper divisors (7609574836056).

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

3488589490344 is a wasteful number, since it uses less digits than its factorization.

3488589490344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651064 (or 651060 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 69.

The spelling of 3488589490344 in words is "three trillion, four hundred eighty-eight billion, five hundred eighty-nine million, four hundred ninety thousand, three hundred forty-four".