3921395467680 has 288 divisors, whose sum is σ = 13591440914688. Its totient is φ = 1029366374400.

The previous prime is 3921395467667. The next prime is 3921395467723. The reversal of 3921395467680 is 867645931293.

3921395467680 is a `hidden beast` number, since 3 + 9 + 2 + 1 + 3 + 9 + 546 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66119640 + ... + 66178920.

It is an arithmetic number, because the mean of its divisors is an integer number (47192503176).

It is a 1-persistent number, because it is pandigital, but 2⋅3921395467680 = 7842790935360 is not.

Almost surely, 2^{3921395467680} is an apocalyptic number.

3921395467680 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 3921395467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795720457344).

3921395467680 is an abundant number, since it is smaller than the sum of its proper divisors (9670045447008).

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

3921395467680 is a wasteful number, since it uses less digits than its factorization.

3921395467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60020 (or 60009 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3921395467680 in words is "three trillion, nine hundred twenty-one billion, three hundred ninety-five million, four hundred sixty-seven thousand, six hundred eighty".