3501006530112 has 336 divisors, whose sum is σ = 12405223888512. Its totient is φ = 919271669760.

The previous prime is 3501006530057. The next prime is 3501006530123. The reversal of 3501006530112 is 2110356001053.

3501006530112 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 0 + 0 + 653 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11751312 + ... + 12045552.

It is an arithmetic number, because the mean of its divisors is an integer number (36920309192).

Almost surely, 2^{3501006530112} is an apocalyptic number.

3501006530112 is a gapful number since it is divisible by the number (32) 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 3501006530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202611944256).

3501006530112 is an abundant number, since it is smaller than the sum of its proper divisors (8904217358400).

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

3501006530112 is a wasteful number, since it uses less digits than its factorization.

3501006530112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294506 (or 294493 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 3501006530112 in words is "three trillion, five hundred one billion, six million, five hundred thirty thousand, one hundred twelve".