3241680945048 has 640 divisors, whose sum is σ = 11455898065920. Its totient is φ = 833660605440.

The previous prime is 3241680945031. The next prime is 3241680945149. The reversal of 3241680945048 is 8405490861423.

3241680945048 is a `hidden beast` number, since 3 + 2 + 41 + 6 + 8 + 0 + 94 + 504 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3241680944985 and 3241680945003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 521922663 + ... + 521928873.

It is an arithmetic number, because the mean of its divisors is an integer number (17899840728).

Almost surely, 2^{3241680945048} 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 3241680945048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727949032960).

3241680945048 is an abundant number, since it is smaller than the sum of its proper divisors (8214217120872).

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

3241680945048 is a wasteful number, since it uses less digits than its factorization.

3241680945048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3241680945048 in words is "three trillion, two hundred forty-one billion, six hundred eighty million, nine hundred forty-five thousand, forty-eight".