3946975119360 has 2304 divisors, whose sum is σ = 17875182124800. Its totient is φ = 818685149184.

The previous prime is 3946975119163. The next prime is 3946975119371. The reversal of 3946975119360 is 639115796493.

3946975119360 is a `hidden beast` number, since 3 + 9 + 469 + 75 + 11 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×3946975119360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 12856596327 + ... + 12856596633.

It is an arithmetic number, because the mean of its divisors is an integer number (7758325575).

Almost surely, 2^{3946975119360} is an apocalyptic number.

3946975119360 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 3946975119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937591062400).

3946975119360 is an abundant number, since it is smaller than the sum of its proper divisors (13928207005440).

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

3946975119360 is a wasteful number, since it uses less digits than its factorization.

3946975119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 3946975119360 in words is "three trillion, nine hundred forty-six billion, nine hundred seventy-five million, one hundred nineteen thousand, three hundred sixty".