3828720 has 160 divisors (see below), whose sum is σ = 14141952. Its totient is φ = 838656.

The previous prime is 3828719. The next prime is 3828733. The reversal of 3828720 is 278283.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 72214 + ... + 72266.

Almost surely, 2^3828720 is an apocalyptic number.

3828720 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 3828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976).

3828720 is an abundant number, since it is smaller than the sum of its proper divisors (10313232).

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

3828720 is a wasteful number, since it uses less digits than its factorization.

3828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3828720 is about 1956.7115270269. The cubic root of 3828720 is about 156.4412229474.

The spelling of 3828720 in words is "three million, eight hundred twenty-eight thousand, seven hundred twenty".