3828352 has 32 divisors (see below), whose sum is σ = 8323200. Its totient is φ = 1739520.

The previous prime is 3828343. The next prime is 3828359. The reversal of 3828352 is 2538283.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3828359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49 + ... + 2767.

It is an arithmetic number, because the mean of its divisors is an integer number (260100).

Almost surely, 2^3828352 is an apocalyptic number.

3828352 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 3828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161600).

3828352 is an abundant number, since it is smaller than the sum of its proper divisors (4494848).

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

3828352 is a wasteful number, since it uses less digits than its factorization.

3828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2732 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 3828352 is about 1956.6174894445. The cubic root of 3828352 is about 156.4362106357.

The spelling of 3828352 in words is "three million, eight hundred twenty-eight thousand, three hundred fifty-two".