3948416112 has 80 divisors (see below), whose sum is σ = 10464330240. Its totient is φ = 1282137600.

The previous prime is 3948416099. The next prime is 3948416119. The reversal of 3948416112 is 2116148493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948416119) 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, 2043787 + ... + 2045717.

It is an arithmetic number, because the mean of its divisors is an integer number (130804128).

Almost surely, 2^3948416112 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 3948416112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232165120).

3948416112 is an abundant number, since it is smaller than the sum of its proper divisors (6515914128).

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

3948416112 is a wasteful number, since it uses less digits than its factorization.

3948416112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3016 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 3948416112 is about 62836.4234500978. The cubic root of 3948416112 is about 1580.5478141003.

The spelling of 3948416112 in words is "three billion, nine hundred forty-eight million, four hundred sixteen thousand, one hundred twelve".