3828672 has 126 divisors (see below), whose sum is σ = 12164568. Its totient is φ = 1148928.

The previous prime is 3828661. The next prime is 3828673. The reversal of 3828672 is 2768283.

It is a happy number.

3828672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828673) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 166453 + ... + 166475.

Almost surely, 2^3828672 is an apocalyptic number.

3828672 is a gapful number since it is divisible by the number (32) 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 3828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082284).

3828672 is an abundant number, since it is smaller than the sum of its proper divisors (8335896).

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

3828672 is a wasteful number, since it uses less digits than its factorization.

3828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3828672 is about 1956.6992615116. The cubic root of 3828672 is about 156.4405691858.

Subtracting from 3828672 its product of digits (32256), we obtain a cube (3796416 = 156³).

The spelling of 3828672 in words is "three million, eight hundred twenty-eight thousand, six hundred seventy-two".