3946320686880 has 480 divisors, whose sum is σ = 16362060378048. Its totient is φ = 883092326400.

The previous prime is 3946320686879. The next prime is 3946320686887. The reversal of 3946320686880 is 886860236493.

3946320686880 is a `hidden beast` number, since 39 + 463 + 2 + 0 + 6 + 8 + 68 + 80 = 666.

3946320686880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (3946320686887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 788595 + ... + 2917965.

Almost surely, 2^{3946320686880} is an apocalyptic number.

3946320686880 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 3946320686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181030189024).

3946320686880 is an abundant number, since it is smaller than the sum of its proper divisors (12415739691168).

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

3946320686880 is a wasteful number, since it uses less digits than its factorization.

3946320686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129422 (or 2129405 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3946320686880 in words is "three trillion, nine hundred forty-six billion, three hundred twenty million, six hundred eighty-six thousand, eight hundred eighty".