3995127343872 has 1296 divisors, whose sum is σ = 14801156697600. Its totient is φ = 1012968456192.

The previous prime is 3995127343859. The next prime is 3995127343903. The reversal of 3995127343872 is 2783437215993.

3995127343872 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 127 + 3 + 438 + 72 = 666.

It is a super-2 number, since 2×3995127343872² (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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8897833504 + ... + 8897833952.

It is an arithmetic number, because the mean of its divisors is an integer number (11420645600).

Almost surely, 2^{3995127343872} is an apocalyptic number.

3995127343872 is a gapful number since it is divisible by the number (32) 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 3995127343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400578348800).

3995127343872 is an abundant number, since it is smaller than the sum of its proper divisors (10806029353728).

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

3995127343872 is a wasteful number, since it uses less digits than its factorization.

3995127343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 584 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 3995127343872 in words is "three trillion, nine hundred ninety-five billion, one hundred twenty-seven million, three hundred forty-three thousand, eight hundred seventy-two".