3828480 has 72 divisors (see below), whose sum is σ = 12239472. Its totient is φ = 1019904.

The previous prime is 3828467. The next prime is 3828497. The reversal of 3828480 is 848283.

It is a super-2 number, since 2×3828480² = 29314518220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3342 + ... + 4338.

Almost surely, 2^3828480 is an apocalyptic number.

3828480 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 3828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119736).

3828480 is an abundant number, since it is smaller than the sum of its proper divisors (8410992).

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

3828480 is an equidigital number, since it uses as much as digits as its factorization.

3828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3828480 is about 1956.6501986814. The cubic root of 3828480 is about 156.4379540849.

The spelling of 3828480 in words is "three million, eight hundred twenty-eight thousand, four hundred eighty".