3530881309760 has 504 divisors, whose sum is σ = 10091970687240. Its totient is φ = 1173013954560.

The previous prime is 3530881309727. The next prime is 3530881309777. The reversal of 3530881309760 is 679031880353.

It can be written as a sum of positive squares in 12 ways, for example, as 2486626225216 + 1044255084544 = 1576904^2 + 1021888^2 .

It is a super-2 number, since 2×3530881309760² (a number of 26 digits) contains 22 as substring.

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, 4259205026 + ... + 4259205854.

Almost surely, 2^{3530881309760} 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 3530881309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045985343620).

3530881309760 is an abundant number, since it is smaller than the sum of its proper divisors (6561089377480).

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

3530881309760 is an equidigital number, since it uses as much as digits as its factorization.

3530881309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 3530881309760 in words is "three trillion, five hundred thirty billion, eight hundred eighty-one million, three hundred nine thousand, seven hundred sixty".