3421608826680 has 1024 divisors, whose sum is σ = 13570169241600. Its totient is φ = 767668492800.

The previous prime is 3421608826631. The next prime is 3421608826687. The reversal of 3421608826680 is 866288061243.

3421608826680 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 608 + 8 + 26 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421608826687) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 686103147 + ... + 686108133.

It is an arithmetic number, because the mean of its divisors is an integer number (13252118400).

Almost surely, 2^{3421608826680} is an apocalyptic number.

3421608826680 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 3421608826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785084620800).

3421608826680 is an abundant number, since it is smaller than the sum of its proper divisors (10148560414920).

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

3421608826680 is a wasteful number, since it uses less digits than its factorization.

3421608826680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 3421608826680 in words is "three trillion, four hundred twenty-one billion, six hundred eight million, eight hundred twenty-six thousand, six hundred eighty".