3828019200 has 312 divisors, whose sum is σ = 13419217008. Its totient is φ = 959447040.

The previous prime is 3828019133. The next prime is 3828019213. The reversal of 3828019200 is 29108283.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222034 + ... + 5222766.

Almost surely, 2^3828019200 is an apocalyptic number.

3828019200 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 3828019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709608504).

3828019200 is an abundant number, since it is smaller than the sum of its proper divisors (9591197808).

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

3828019200 is a wasteful number, since it uses less digits than its factorization.

3828019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 3828019200 is about 61870.9883548016. The cubic root of 3828019200 is about 1564.3167748586.

The spelling of 3828019200 in words is "three billion, eight hundred twenty-eight million, nineteen thousand, two hundred".