3873879360 has 336 divisors, whose sum is σ = 14498580096. Its totient is φ = 943681536.

The previous prime is 3873879343. The next prime is 3873879371. The reversal of 3873879360 is 639783783.

3873879360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3873879297 and 3873879306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4005597 + ... + 4006563.

It is an arithmetic number, because the mean of its divisors is an integer number (43150536).

Almost surely, 2^3873879360 is an apocalyptic number.

3873879360 is a gapful number since it is divisible by the number (30) 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 3873879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249290048).

3873879360 is an abundant number, since it is smaller than the sum of its proper divisors (10624700736).

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

3873879360 is a wasteful number, since it uses less digits than its factorization.

3873879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3873879360 is about 62240.4961419814. The cubic root of 3873879360 is about 1570.5388984009.

The spelling of 3873879360 in words is "three billion, eight hundred seventy-three million, eight hundred seventy-nine thousand, three hundred sixty".