3995126003160 has 384 divisors, whose sum is σ = 14116808908800. Its totient is φ = 976156738560.

The previous prime is 3995126003159. The next prime is 3995126003171. The reversal of 3995126003160 is 613006215993.

3995126003160 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 1 + 2 + 600 + 31 + 6 + 0 = 666.

It is a super-2 number, since 2×3995126003160² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437433954 + ... + 437443086.

It is an arithmetic number, because the mean of its divisors is an integer number (36762523200).

Almost surely, 2^{3995126003160} is an apocalyptic number.

3995126003160 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 3995126003160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058404454400).

3995126003160 is an abundant number, since it is smaller than the sum of its proper divisors (10121682905640).

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

3995126003160 is a wasteful number, since it uses less digits than its factorization.

3995126003160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11263 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 3995126003160 in words is "three trillion, nine hundred ninety-five billion, one hundred twenty-six million, three thousand, one hundred sixty".