3946844160000 has 2880 divisors, whose sum is σ = 18204710752800. Its totient is φ = 817496064000.

The previous prime is 3946844159983. The next prime is 3946844160031. The reversal of 3946844160000 is 614486493.

3946844160000 is a `hidden beast` number, since 3 + 94 + 68 + 441 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3946844160000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 171601919989 + ... + 171601920011.

Almost surely, 2^{3946844160000} is an apocalyptic number.

3946844160000 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 3946844160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102355376400).

3946844160000 is an abundant number, since it is smaller than the sum of its proper divisors (14257866592800).

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

3946844160000 is an equidigital number, since it uses as much as digits as its factorization.

3946844160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3946844160000 in words is "three trillion, nine hundred forty-six billion, eight hundred forty-four million, one hundred sixty thousand".