3958214635752 has 256 divisors, whose sum is σ = 10989190840320. Its totient is φ = 1180666368000.

The previous prime is 3958214635733. The next prime is 3958214635783. The reversal of 3958214635752 is 2575364128593.

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 63 ways as a sum of consecutive naturals, for example, 317897127 + ... + 317909577.

It is an arithmetic number, because the mean of its divisors is an integer number (42926526720).

Almost surely, 2^{3958214635752} 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 3958214635752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494595420160).

3958214635752 is an abundant number, since it is smaller than the sum of its proper divisors (7030976204568).

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

3958214635752 is a wasteful number, since it uses less digits than its factorization.

3958214635752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12784 (or 12780 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 60.

The spelling of 3958214635752 in words is "three trillion, nine hundred fifty-eight billion, two hundred fourteen million, six hundred thirty-five thousand, seven hundred fifty-two".