3413273179680 has 1728 divisors, whose sum is σ = 14888901081600. Its totient is φ = 711374856192.

The previous prime is 3413273179601. The next prime is 3413273179699. The reversal of 3413273179680 is 869713723143.

3413273179680 is a `hidden beast` number, since 34 + 132 + 7 + 317 + 96 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8597665242 + ... + 8597665638.

It is an arithmetic number, because the mean of its divisors is an integer number (8616262200).

Almost surely, 2^{3413273179680} is an apocalyptic number.

3413273179680 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 3413273179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444450540800).

3413273179680 is an abundant number, since it is smaller than the sum of its proper divisors (11475627901920).

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

3413273179680 is a wasteful number, since it uses less digits than its factorization.

3413273179680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

It can be divided in two parts, 3413273 and 179680, that added together give a palindrome (3592953).

The spelling of 3413273179680 in words is "three trillion, four hundred thirteen billion, two hundred seventy-three million, one hundred seventy-nine thousand, six hundred eighty".