3505542560 has 192 divisors, whose sum is σ = 9487497600. Its totient is φ = 1213304832.

The previous prime is 3505542559. The next prime is 3505542653. The reversal of 3505542560 is 652455053.

It is a self number, because there is not a number n which added to its sum of digits gives 3505542560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4228226 + ... + 4229054.

It is an arithmetic number, because the mean of its divisors is an integer number (49414050).

Almost surely, 2^3505542560 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 3505542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743748800).

3505542560 is an abundant number, since it is smaller than the sum of its proper divisors (5981955040).

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

3505542560 is a wasteful number, since it uses less digits than its factorization.

3505542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The square root of 3505542560 is about 59207.6224822446. The cubic root of 3505542560 is about 1519.0955145186.

The spelling of 3505542560 in words is "three billion, five hundred five million, five hundred forty-two thousand, five hundred sixty".