3946277157120 has 216 divisors, whose sum is σ = 13697342478456. Its totient is φ = 1048977506304.

The previous prime is 3946277157113. The next prime is 3946277157167. The reversal of 3946277157120 is 217517726493.

3946277157120 is a `hidden beast` number, since 3 + 9 + 4 + 62 + 7 + 7 + 1 + 571 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170126551296 + 3776150605824 = 412464^2 + 1943232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3058542 + ... + 4152978.

Almost surely, 2^{3946277157120} is an apocalyptic number.

3946277157120 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 3946277157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848671239228).

3946277157120 is an abundant number, since it is smaller than the sum of its proper divisors (9751065321336).

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

3946277157120 is a wasteful number, since it uses less digits than its factorization.

3946277157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094777 (or 1094760 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 3946277157120 in words is "three trillion, nine hundred forty-six billion, two hundred seventy-seven million, one hundred fifty-seven thousand, one hundred twenty".