3958734129912 has 192 divisors, whose sum is σ = 10841688000000. Its totient is φ = 1304900308224.

The previous prime is 3958734129881. The next prime is 3958734129989. The reversal of 3958734129912 is 2199214378593.

3958734129912 is a `hidden beast` number, since 3 + 9 + 58 + 73 + 412 + 99 + 12 = 666.

It is a super-2 number, since 2×3958734129912² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3958734129912.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2031160714 + ... + 2031162662.

It is an arithmetic number, because the mean of its divisors is an integer number (56467125000).

Almost surely, 2^{3958734129912} 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 3958734129912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420844000000).

3958734129912 is an abundant number, since it is smaller than the sum of its proper divisors (6882953870088).

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

3958734129912 is a wasteful number, since it uses less digits than its factorization.

3958734129912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2931 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 3958734129912 in words is "three trillion, nine hundred fifty-eight billion, seven hundred thirty-four million, one hundred twenty-nine thousand, nine hundred twelve".