3503130864128 has 160 divisors (see below), whose sum is σ = 8354800080000. Its totient is φ = 1436003057664.

The previous prime is 3503130864127. The next prime is 3503130864151. The reversal of 3503130864128 is 8214680313053.

3503130864128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3503130864127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7599998 + ... + 8047746.

It is an arithmetic number, because the mean of its divisors is an integer number (52217500500).

Almost surely, 2^{3503130864128} 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 3503130864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177400040000).

3503130864128 is an abundant number, since it is smaller than the sum of its proper divisors (4851669215872).

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

3503130864128 is an equidigital number, since it uses as much as digits as its factorization.

3503130864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447870 (or 447854 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 3503130864128 in words is "three trillion, five hundred three billion, one hundred thirty million, eight hundred sixty-four thousand, one hundred twenty-eight".