3946405349320 has 192 divisors, whose sum is σ = 10693969272000. Its totient is φ = 1305334937088.

The previous prime is 3946405349309. The next prime is 3946405349353. The reversal of 3946405349320 is 239435046493.

It is a happy number.

3946405349320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3946405349320² (a number of 26 digits) contains 22 as substring.

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, 71533987 + ... + 71589133.

It is an arithmetic number, because the mean of its divisors is an integer number (55697756625).

Almost surely, 2^{3946405349320} 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 3946405349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346984636000).

3946405349320 is an abundant number, since it is smaller than the sum of its proper divisors (6747563922680).

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

3946405349320 is a wasteful number, since it uses less digits than its factorization.

3946405349320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56460 (or 56449 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 52.

The spelling of 3946405349320 in words is "three trillion, nine hundred forty-six billion, four hundred five million, three hundred forty-nine thousand, three hundred twenty".