3521757904896 has 816 divisors, whose sum is σ = 12049304601600. Its totient is φ = 904695644160.

The previous prime is 3521757904877. The next prime is 3521757904897. The reversal of 3521757904896 is 6984097571253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (3521757904897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17697275805 + ... + 17697276003.

It is a 1-persistent number, because it is pandigital, but 2⋅3521757904896 = 7043515809792 is not.

Almost surely, 2^{3521757904896} 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 3521757904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024652300800).

3521757904896 is an abundant number, since it is smaller than the sum of its proper divisors (8527546696704).

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

3521757904896 is a wasteful number, since it uses less digits than its factorization.

3521757904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 3521757904896 in words is "three trillion, five hundred twenty-one billion, seven hundred fifty-seven million, nine hundred four thousand, eight hundred ninety-six".