3537349512816 has 480 divisors, whose sum is σ = 10911620808000. Its totient is φ = 984367448064.

The previous prime is 3537349512811. The next prime is 3537349512817. The reversal of 3537349512816 is 6182159437353.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537349512811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5225035870 + ... + 5225036546.

It is an arithmetic number, because the mean of its divisors is an integer number (22732543350).

Almost surely, 2^{3537349512816} 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 3537349512816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455810404000).

3537349512816 is an abundant number, since it is smaller than the sum of its proper divisors (7374271295184).

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

3537349512816 is a wasteful number, since it uses less digits than its factorization.

3537349512816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The spelling of 3537349512816 in words is "three trillion, five hundred thirty-seven billion, three hundred forty-nine million, five hundred twelve thousand, eight hundred sixteen".