3828811800 has 192 divisors, whose sum is σ = 13299148800. Its totient is φ = 903052800.

The previous prime is 3828811799. The next prime is 3828811843. The reversal of 3828811800 is 81188283.

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, 236361 + ... + 252039.

It is an arithmetic number, because the mean of its divisors is an integer number (69266400).

Almost surely, 2^3828811800 is an apocalyptic number.

3828811800 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 3828811800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649574400).

3828811800 is an abundant number, since it is smaller than the sum of its proper divisors (9470337000).

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

3828811800 is a wasteful number, since it uses less digits than its factorization.

3828811800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15746 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 3828811800 is about 61877.3932870479. The cubic root of 3828811800 is about 1564.4247325122.

The spelling of 3828811800 in words is "three billion, eight hundred twenty-eight million, eight hundred eleven thousand, eight hundred".