3868058304 has 504 divisors, whose sum is σ = 13491179520. Its totient is φ = 1053803520.

The previous prime is 3868058291. The next prime is 3868058351. The reversal of 3868058304 is 4038508683.

3868058304 is a `hidden beast` number, since 3 + 8 + 68 + 0 + 583 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3868058304.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30457089 + ... + 30457215.

Almost surely, 2^3868058304 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 3868058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745589760).

3868058304 is an abundant number, since it is smaller than the sum of its proper divisors (9623121216).

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

3868058304 is a wasteful number, since it uses less digits than its factorization.

3868058304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3868058304 is about 62193.7159526588. The cubic root of 3868058304 is about 1569.7518511885.

The spelling of 3868058304 in words is "three billion, eight hundred sixty-eight million, fifty-eight thousand, three hundred four".