3521984755680 has 960 divisors, whose sum is σ = 13404380774400. Its totient is φ = 868159918080.

The previous prime is 3521984755657. The next prime is 3521984755711. The reversal of 3521984755680 is 865574891253.

3521984755680 is a `hidden beast` number, since 3 + 5 + 21 + 9 + 8 + 47 + 5 + 568 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2753701281 + ... + 2753702559.

It is an arithmetic number, because the mean of its divisors is an integer number (13962896640).

It is a 1-persistent number, because it is pandigital, but 2⋅3521984755680 = 7043969511360 is not.

Almost surely, 2^{3521984755680} is an apocalyptic number.

3521984755680 is a gapful number since it is divisible by the number (30) 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 3521984755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702190387200).

3521984755680 is an abundant number, since it is smaller than the sum of its proper divisors (9882396018720).

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

3521984755680 is a wasteful number, since it uses less digits than its factorization.

3521984755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 3521984755680 in words is "three trillion, five hundred twenty-one billion, nine hundred eighty-four million, seven hundred fifty-five thousand, six hundred eighty".