3491968596480 has 2560 divisors, whose sum is σ = 16363652659200. Its totient is φ = 687291236352.

The previous prime is 3491968596451. The next prime is 3491968596517. The reversal of 3491968596480 is 846958691943.

3491968596480 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 96 + 8 + 59 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3491968596399 and 3491968596408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30902376904 + ... + 30902377016.

It is an arithmetic number, because the mean of its divisors is an integer number (6392051820).

Almost surely, 2^{3491968596480} is an apocalyptic number.

3491968596480 is a gapful number since it is divisible by the number (30) 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 3491968596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181826329600).

3491968596480 is an abundant number, since it is smaller than the sum of its proper divisors (12871684062720).

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

3491968596480 is a wasteful number, since it uses less digits than its factorization.

3491968596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 3491968596480 in words is "three trillion, four hundred ninety-one billion, nine hundred sixty-eight million, five hundred ninety-six thousand, four hundred eighty".