3828600 has 96 divisors (see below), whose sum is σ = 13206000. Its totient is φ = 1019520.

The previous prime is 3828599. The next prime is 3828611. The reversal of 3828600 is 68283.

3828600 is a `hidden beast` number, since 38 + 28 + 600 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5046 + ... + 5754.

Almost surely, 2^3828600 is an apocalyptic number.

3828600 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 3828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603000).

3828600 is an abundant number, since it is smaller than the sum of its proper divisors (9377400).

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

3828600 is a wasteful number, since it uses less digits than its factorization.

3828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

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

The square root of 3828600 is about 1956.6808630944. The cubic root of 3828600 is about 156.4395885332.

The spelling of 3828600 in words is "three million, eight hundred twenty-eight thousand, six hundred".