3491959960576 has 528 divisors, whose sum is σ = 7966249046784. Its totient is φ = 1525235712000.

The previous prime is 3491959960571. The next prime is 3491959960579. The reversal of 3491959960576 is 6750699591943.

It is a junction number, because it is equal to n+sod(n) for n = 3491959960499 and 3491959960508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3491959960571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49182534621 + ... + 49182534691.

Almost surely, 2^{3491959960576} 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 3491959960576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983124523392).

3491959960576 is an abundant number, since it is smaller than the sum of its proper divisors (4474289086208).

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

3491959960576 is a wasteful number, since it uses less digits than its factorization.

3491959960576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 496011600, while the sum is 73.

The spelling of 3491959960576 in words is "three trillion, four hundred ninety-one billion, nine hundred fifty-nine million, nine hundred sixty thousand, five hundred seventy-six".