3828240 has 120 divisors (see below), whose sum is σ = 13879320. Its totient is φ = 940032.

The previous prime is 3828239. The next prime is 3828259. The reversal of 3828240 is 428283.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 3326976 = 708^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9156 + ... + 9564.

It is an arithmetic number, because the mean of its divisors is an integer number (115661).

Almost surely, 2^3828240 is an apocalyptic number.

3828240 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 3828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939660).

3828240 is an abundant number, since it is smaller than the sum of its proper divisors (10051080).

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

3828240 is a wasteful number, since it uses less digits than its factorization.

3828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3828240 is about 1956.5888684136. The cubic root of 3828240 is about 156.4346850857.

The spelling of 3828240 in words is "three million, eight hundred twenty-eight thousand, two hundred forty".