3868753248 has 216 divisors, whose sum is σ = 11742651648. Its totient is φ = 1207954944.

The previous prime is 3868753247. The next prime is 3868753271. The reversal of 3868753248 is 8423578683.

3868753248 is a `hidden beast` number, since 3 + 8 + 68 + 7 + 532 + 48 = 666.

3868753248 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 = 3868753194 and 3868753203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868753243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13203790 + ... + 13204082.

It is an arithmetic number, because the mean of its divisors is an integer number (54364128).

Almost surely, 2^3868753248 is an apocalyptic number.

3868753248 is a gapful number since it is divisible by the number (38) 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 3868753248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871325824).

3868753248 is an abundant number, since it is smaller than the sum of its proper divisors (7873898400).

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

3868753248 is a wasteful number, since it uses less digits than its factorization.

3868753248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 444 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3868753248 is about 62199.3026327466. The cubic root of 3868753248 is about 1569.8458539345.

The spelling of 3868753248 in words is "three billion, eight hundred sixty-eight million, seven hundred fifty-three thousand, two hundred forty-eight".