3828006000 has 1280 divisors, whose sum is σ = 18198835200. Its totient is φ = 746496000.

The previous prime is 3828005969. The next prime is 3828006029. The reversal of 3828006000 is 6008283.

3828006000 is a `hidden beast` number, since 38 + 28 + 0 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93365980 + ... + 93366020.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^3828006000 is an apocalyptic number.

3828006000 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 3828006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

3828006000 is an abundant number, since it is smaller than the sum of its proper divisors (14370829200).

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

3828006000 is a wasteful number, since it uses less digits than its factorization.

3828006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3828006000 is about 61870.8816811269. The cubic root of 3828006000 is about 1564.3149768003.

The spelling of 3828006000 in words is "three billion, eight hundred twenty-eight million, six thousand".