3954164188128 has 384 divisors, whose sum is σ = 13380478304256. Its totient is φ = 992278425600.

The previous prime is 3954164188043. The next prime is 3954164188189. The reversal of 3954164188128 is 8218814614593.

It is a super-2 number, since 2×3954164188128² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141372801 + ... + 141400767.

It is an arithmetic number, because the mean of its divisors is an integer number (34844995584).

Almost surely, 2^{3954164188128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3954164188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690239152128).

3954164188128 is an abundant number, since it is smaller than the sum of its proper divisors (9426314116128).

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

3954164188128 is a wasteful number, since it uses less digits than its factorization.

3954164188128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28646 (or 28638 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 60.

The spelling of 3954164188128 in words is "three trillion, nine hundred fifty-four billion, one hundred sixty-four million, one hundred eighty-eight thousand, one hundred twenty-eight".