3945948258112 has 336 divisors, whose sum is σ = 9662946140160. Its totient is φ = 1590823922688.

The previous prime is 3945948258067. The next prime is 3945948258113. The reversal of 3945948258112 is 2118528495493.

It is a happy number.

3945948258112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945948258113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612564473 + ... + 1612566919.

Almost surely, 2^{3945948258112} is an apocalyptic number.

3945948258112 is a gapful number since it is divisible by the number (32) 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 3945948258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831473070080).

3945948258112 is an abundant number, since it is smaller than the sum of its proper divisors (5716997882048).

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

3945948258112 is a wasteful number, since it uses less digits than its factorization.

3945948258112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2841 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 61.

The spelling of 3945948258112 in words is "three trillion, nine hundred forty-five billion, nine hundred forty-eight million, two hundred fifty-eight thousand, one hundred twelve".