3868830000 has 800 divisors, whose sum is σ = 16734643200. Its totient is φ = 836352000.

The previous prime is 3868829971. The next prime is 3868830011. The reversal of 3868830000 is 388683.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43469956 + ... + 43470044.

It is an arithmetic number, because the mean of its divisors is an integer number (20918304).

Almost surely, 2^3868830000 is an apocalyptic number.

3868830000 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 3868830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367321600).

3868830000 is an abundant number, since it is smaller than the sum of its proper divisors (12865813200).

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

3868830000 is a wasteful number, since it uses less digits than its factorization.

3868830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3868830000 is about 62199.9196140960. The cubic root of 3868830000 is about 1569.8562352300.

The spelling of 3868830000 in words is "three billion, eight hundred sixty-eight million, eight hundred thirty thousand".