3828883800 has 192 divisors, whose sum is σ = 14279443200. Its totient is φ = 829094400.

The previous prime is 3828883783. The next prime is 3828883829. The reversal of 3828883800 is 83888283.

It is a self number, because there is not a number n which added to its sum of digits gives 3828883800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55810 + ... + 103790.

It is an arithmetic number, because the mean of its divisors is an integer number (74372100).

Almost surely, 2^3828883800 is an apocalyptic number.

3828883800 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 3828883800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139721600).

3828883800 is an abundant number, since it is smaller than the sum of its proper divisors (10450559400).

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

3828883800 is a wasteful number, since it uses less digits than its factorization.

3828883800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48026 (or 48017 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 3828883800 is about 61877.9750799911. The cubic root of 3828883800 is about 1564.4345386766.

The spelling of 3828883800 in words is "three billion, eight hundred twenty-eight million, eight hundred eighty-three thousand, eight hundred".