3527328981264 has 240 divisors, whose sum is σ = 10059393032640. Its totient is φ = 1064264115200.

The previous prime is 3527328981259. The next prime is 3527328981311. The reversal of 3527328981264 is 4621898237253.

It is a junction number, because it is equal to n+sod(n) for n = 3527328981198 and 3527328981207.

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, 1647513634 + ... + 1647515774.

It is an arithmetic number, because the mean of its divisors is an integer number (41914137636).

Almost surely, 2^{3527328981264} 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 3527328981264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029696516320).

3527328981264 is an abundant number, since it is smaller than the sum of its proper divisors (6532064051376).

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

3527328981264 is a wasteful number, since it uses less digits than its factorization.

3527328981264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3253 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 3527328981264 in words is "three trillion, five hundred twenty-seven billion, three hundred twenty-eight million, nine hundred eighty-one thousand, two hundred sixty-four".