3828300 has 72 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 874560.

The previous prime is 3828287. The next prime is 3828311. The reversal of 3828300 is 38283.

3828300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam 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, 1189 + ... + 3011.

Almost surely, 2^3828300 is an apocalyptic number.

3828300 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 3828300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

3828300 is an abundant number, since it is smaller than the sum of its proper divisors (8837556).

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

3828300 is a wasteful number, since it uses less digits than its factorization.

3828300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3828300 is about 1956.6042011608. The cubic root of 3828300 is about 156.4355023483.

Multiplying 3828300 by its reverse (38283), we get a square (146558808900 = 382830²).

3828300 divided by its reverse (38283) gives a square (100 = 10²).

The spelling of 3828300 in words is "three million, eight hundred twenty-eight thousand, three hundred".