3859128000 has 1344 divisors, whose sum is σ = 18461614080. Its totient is φ = 746496000.

The previous prime is 3859127999. The next prime is 3859128059. The reversal of 3859128000 is 8219583.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 124487985 + ... + 124488015.

It is an arithmetic number, because the mean of its divisors is an integer number (13736320).

Almost surely, 2^3859128000 is an apocalyptic number.

3859128000 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 3859128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230807040).

3859128000 is an abundant number, since it is smaller than the sum of its proper divisors (14602486080).

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

3859128000 is a wasteful number, since it uses less digits than its factorization.

3859128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3859128000 is about 62121.8802033551. The cubic root of 3859128000 is about 1568.5428756770.

The spelling of 3859128000 in words is "three billion, eight hundred fifty-nine million, one hundred twenty-eight thousand".