3857868000 has 720 divisors, whose sum is σ = 16539226704. Its totient is φ = 881798400.

The previous prime is 3857867989. The next prime is 3857868019. The reversal of 3857868000 is 8687583.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3857868000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 551123997 + ... + 551124003.

Almost surely, 2^3857868000 is an apocalyptic number.

3857868000 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 3857868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269613352).

3857868000 is an abundant number, since it is smaller than the sum of its proper divisors (12681358704).

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

3857868000 is an frugal number, since it uses more digits than its factorization.

3857868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3857868000 is about 62111.7380210858. The cubic root of 3857868000 is about 1568.3721480622.

The spelling of 3857868000 in words is "three billion, eight hundred fifty-seven million, eight hundred sixty-eight thousand".