3956109066008 has 96 divisors (see below), whose sum is σ = 8583840216000. Its totient is φ = 1703315275200.

The previous prime is 3956109065981. The next prime is 3956109066031. The reversal of 3956109066008 is 8006609016593.

It is a Cunningham number, because it is equal to 1988997²-1.

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 23 ways as a sum of consecutive naturals, for example, 151150763 + ... + 151176933.

It is an arithmetic number, because the mean of its divisors is an integer number (89415002250).

Almost surely, 2^{3956109066008} is an apocalyptic number.

3956109066008 is a gapful number since it is divisible by the number (38) 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 3956109066008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291920108000).

3956109066008 is an abundant number, since it is smaller than the sum of its proper divisors (4627731149992).

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

3956109066008 is a wasteful number, since it uses less digits than its factorization.

3956109066008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34437 (or 34422 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 53.

The spelling of 3956109066008 in words is "three trillion, nine hundred fifty-six billion, one hundred nine million, sixty-six thousand, eight".