3488775413616 has 120 divisors (see below), whose sum is σ = 10087730021040. Its totient is φ = 1154433950208.

The previous prime is 3488775413603. The next prime is 3488775413657. The reversal of 3488775413616 is 6163145778843.

3488775413616 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 7 + 7 + 5 + 4 + 1 + 3 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7893070 + ... + 8323346.

It is an arithmetic number, because the mean of its divisors is an integer number (84064416842).

Almost surely, 2^{3488775413616} is an apocalyptic number.

3488775413616 is a gapful number since it is divisible by the number (36) 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 3488775413616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043865010520).

3488775413616 is an abundant number, since it is smaller than the sum of its proper divisors (6598954607424).

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

3488775413616 is a wasteful number, since it uses less digits than its factorization.

3488775413616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430568 (or 430419 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 3488775413616 in words is "three trillion, four hundred eighty-eight billion, seven hundred seventy-five million, four hundred thirteen thousand, six hundred sixteen".