3504856576640 has 512 divisors, whose sum is σ = 9230702976000. Its totient is φ = 1267333595136.

The previous prime is 3504856576621. The next prime is 3504856576649. The reversal of 3504856576640 is 466756584053.

It is a self number, because there is not a number n which added to its sum of digits gives 3504856576640.

It is not an unprimeable number, because it can be changed into a prime (3504856576649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9550017737 + ... + 9550018103.

It is an arithmetic number, because the mean of its divisors is an integer number (18028716750).

Almost surely, 2^{3504856576640} 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 3504856576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615351488000).

3504856576640 is an abundant number, since it is smaller than the sum of its proper divisors (5725846399360).

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

3504856576640 is a wasteful number, since it uses less digits than its factorization.

3504856576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 59.

The spelling of 3504856576640 in words is "three trillion, five hundred four billion, eight hundred fifty-six million, five hundred seventy-six thousand, six hundred forty".