3978736848 has 200 divisors, whose sum is σ = 12250465920. Its totient is φ = 1242362880.

The previous prime is 3978736829. The next prime is 3978736891. The reversal of 3978736848 is 8486378793.

3978736848 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9231193 + ... + 9231623.

Almost surely, 2^3978736848 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 3978736848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125232960).

3978736848 is an abundant number, since it is smaller than the sum of its proper divisors (8271729072).

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

3978736848 is a wasteful number, since it uses less digits than its factorization.

3978736848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 872 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 3978736848 is about 63077.2292352795. The cubic root of 3978736848 is about 1584.5832906929.

The spelling of 3978736848 in words is "three billion, nine hundred seventy-eight million, seven hundred thirty-six thousand, eight hundred forty-eight".