3952812096768 has 144 divisors (see below), whose sum is σ = 10550178406656. Its totient is φ = 1313859010560.

The previous prime is 3952812096763. The next prime is 3952812096769. The reversal of 3952812096768 is 8676902182593.

It is a super-4 number, since 4×3952812096768⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 3952812096699 and 3952812096708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952812096763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755648713 + ... + 755653943.

It is an arithmetic number, because the mean of its divisors is an integer number (73265127824).

Almost surely, 2^{3952812096768} 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 3952812096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275089203328).

3952812096768 is an abundant number, since it is smaller than the sum of its proper divisors (6597366309888).

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

3952812096768 is a wasteful number, since it uses less digits than its factorization.

3952812096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 3952812096768 in words is "three trillion, nine hundred fifty-two billion, eight hundred twelve million, ninety-six thousand, seven hundred sixty-eight".