3868852608 has 192 divisors, whose sum is σ = 11533813200. Its totient is φ = 1243828224.

The previous prime is 3868852591. The next prime is 3868852633. The reversal of 3868852608 is 8062588683.

3868852608 is a `hidden beast` number, since 38 + 6 + 88 + 526 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3868852608³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5924410 + ... + 5925062.

Almost surely, 2^3868852608 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 3868852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766906600).

3868852608 is an abundant number, since it is smaller than the sum of its proper divisors (7664960592).

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

3868852608 is a wasteful number, since it uses less digits than its factorization.

3868852608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 3868852608 is about 62200.1013503997. The cubic root of 3868852608 is about 1569.8592931089.

The spelling of 3868852608 in words is "three billion, eight hundred sixty-eight million, eight hundred fifty-two thousand, six hundred eight".