3261680134020 has 576 divisors, whose sum is σ = 13145308839936. Its totient is φ = 634488053760.

The previous prime is 3261680134003. The next prime is 3261680134021. The reversal of 3261680134020 is 204310861623.

3261680134020 is a `hidden beast` number, since 3 + 2 + 616 + 8 + 0 + 1 + 34 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×3261680134020² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3261680134021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14873812 + ... + 15091508.

It is an arithmetic number, because the mean of its divisors is an integer number (22821716736).

Almost surely, 2^{3261680134020} is an apocalyptic number.

3261680134020 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 3261680134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572654419968).

3261680134020 is an abundant number, since it is smaller than the sum of its proper divisors (9883628705916).

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

3261680134020 is a wasteful number, since it uses less digits than its factorization.

3261680134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217800 (or 217795 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 3261680134020 its reverse (204310861623), we get a palindrome (3465990995643).

The spelling of 3261680134020 in words is "three trillion, two hundred sixty-one billion, six hundred eighty million, one hundred thirty-four thousand, twenty".