3958904868912 has 420 divisors, whose sum is σ = 13212192271824. Its totient is φ = 1125207417600.

The previous prime is 3958904868911. The next prime is 3958904868937. The reversal of 3958904868912 is 2198684098593.

3958904868912 is a `hidden beast` number, since 3 + 9 + 58 + 9 + 0 + 486 + 8 + 91 + 2 = 666.

It is a super-3 number, since 3×3958904868912³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3958904868911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5647510162 + ... + 5647510862.

Almost surely, 2^{3958904868912} 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 3958904868912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606096135912).

3958904868912 is an abundant number, since it is smaller than the sum of its proper divisors (9253287402912).

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

3958904868912 is an frugal number, since it uses more digits than its factorization.

3958904868912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 3958904868912 in words is "three trillion, nine hundred fifty-eight billion, nine hundred four million, eight hundred sixty-eight thousand, nine hundred twelve".