3868658000 has 80 divisors (see below), whose sum is σ = 9677126160. Its totient is φ = 1494080000.

The previous prime is 3868657979. The next prime is 3868658041. The reversal of 3868658000 is 8568683.

It can be written as a sum of positive squares in 8 ways, for example, as 1627961104 + 2240696896 = 40348^2 + 47336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24650 + ... + 91350.

It is an arithmetic number, because the mean of its divisors is an integer number (120964077).

Almost surely, 2^3868658000 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 3868658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838563080).

3868658000 is an abundant number, since it is smaller than the sum of its proper divisors (5808468160).

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

3868658000 is a wasteful number, since it uses less digits than its factorization.

3868658000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66753 (or 66737 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 3868658000 is about 62198.5369602855. The cubic root of 3868658000 is about 1569.8329707225.

The spelling of 3868658000 in words is "three billion, eight hundred sixty-eight million, six hundred fifty-eight thousand".