3946830880720 has 400 divisors, whose sum is σ = 11856274364160. Its totient is φ = 1194686558208.

The previous prime is 3946830880709. The next prime is 3946830880723. The reversal of 3946830880720 is 270880386493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946830880723) 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, 367860316 + ... + 367871044.

Almost surely, 2^{3946830880720} 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 3946830880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928137182080).

3946830880720 is an abundant number, since it is smaller than the sum of its proper divisors (7909443483440).

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

3946830880720 is a wasteful number, since it uses less digits than its factorization.

3946830880720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10824 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 3946830880720 in words is "three trillion, nine hundred forty-six billion, eight hundred thirty million, eight hundred eighty thousand, seven hundred twenty".