3520938832656 has 320 divisors, whose sum is σ = 11075910144000. Its totient is φ = 961598905344.

The previous prime is 3520938832573. The next prime is 3520938832721. The reversal of 3520938832656 is 6562388390253.

It is a self number, because there is not a number n which added to its sum of digits gives 3520938832656.

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, 934181940 + ... + 934185708.

It is an arithmetic number, because the mean of its divisors is an integer number (34612219200).

Almost surely, 2^{3520938832656} 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 3520938832656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537955072000).

3520938832656 is an abundant number, since it is smaller than the sum of its proper divisors (7554971311344).

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

3520938832656 is a wasteful number, since it uses less digits than its factorization.

3520938832656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 3520938832656 in words is "three trillion, five hundred twenty billion, nine hundred thirty-eight million, eight hundred thirty-two thousand, six hundred fifty-six".