3950164410192 has 720 divisors, whose sum is σ = 15765062721408. Its totient is φ = 905909114880.

The previous prime is 3950164410191. The next prime is 3950164410217. The reversal of 3950164410192 is 2910144610593.

3950164410192 is a `hidden beast` number, since 3 + 9 + 5 + 0 + 16 + 441 + 0 + 192 = 666.

It is a super-2 number, since 2×3950164410192² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3950164410191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23122078 + ... + 23292290.

Almost surely, 2^{3950164410192} 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 3950164410192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882531360704).

3950164410192 is an abundant number, since it is smaller than the sum of its proper divisors (11814898311216).

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

3950164410192 is a wasteful number, since it uses less digits than its factorization.

3950164410192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170288 (or 170272 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 3950164410192 in words is "three trillion, nine hundred fifty billion, one hundred sixty-four million, four hundred ten thousand, one hundred ninety-two".