3538801637616 has 360 divisors, whose sum is σ = 11006168595840. Its totient is φ = 976904974080.

The previous prime is 3538801637597. The next prime is 3538801637663. The reversal of 3538801637616 is 6167361088353.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2682942205 + ... + 2682943523.

It is an arithmetic number, because the mean of its divisors is an integer number (30572690544).

Almost surely, 2^{3538801637616} 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 3538801637616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503084297920).

3538801637616 is an abundant number, since it is smaller than the sum of its proper divisors (7467366958224).

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

3538801637616 is a wasteful number, since it uses less digits than its factorization.

3538801637616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 3538801637616 in words is "three trillion, five hundred thirty-eight billion, eight hundred one million, six hundred thirty-seven thousand, six hundred sixteen".