3946213921104 has 400 divisors, whose sum is σ = 14102259119872. Its totient is φ = 1037424900096.

The previous prime is 3946213921081. The next prime is 3946213921123. The reversal of 3946213921104 is 4011293126493.

3946213921104 is a `hidden beast` number, since 3 + 9 + 4 + 621 + 3 + 9 + 2 + 1 + 10 + 4 = 666.

3946213921104 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 2×3946213921104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3946213921104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36860517 + ... + 36967419.

Almost surely, 2^{3946213921104} 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 3946213921104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051129559936).

3946213921104 is an abundant number, since it is smaller than the sum of its proper divisors (10156045198768).

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

3946213921104 is a wasteful number, since it uses less digits than its factorization.

3946213921104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107256 (or 107241 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 3946213921104 in words is "three trillion, nine hundred forty-six billion, two hundred thirteen million, nine hundred twenty-one thousand, one hundred four".