3560958668928 has 128 divisors (see below), whose sum is σ = 9999364939200. Its totient is φ = 1119686492160.

The previous prime is 3560958668923. The next prime is 3560958668977. The reversal of 3560958668928 is 8298668590653.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3560958668928.

It is not an unprimeable number, because it can be changed into a prime (3560958668923) 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, 652608 + ... + 2747328.

Almost surely, 2^{3560958668928} is an apocalyptic number.

3560958668928 is a gapful number since it is divisible by the number (38) 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 3560958668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999682469600).

3560958668928 is an abundant number, since it is smaller than the sum of its proper divisors (6438406270272).

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

3560958668928 is a wasteful number, since it uses less digits than its factorization.

3560958668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094990 (or 2094978 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 75.

The spelling of 3560958668928 in words is "three trillion, five hundred sixty billion, nine hundred fifty-eight million, six hundred sixty-eight thousand, nine hundred twenty-eight".