3828648 has 32 divisors (see below), whose sum is σ = 9718560. Its totient is φ = 1256640.

The previous prime is 3828637. The next prime is 3828659. The reversal of 3828648 is 8468283.

It is an interprime number because it is at equal distance from previous prime (3828637) and next prime (3828659).

It is a nude number because it is divisible by every one of its digits.

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, 418 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (303705).

Almost surely, 2^3828648 is an apocalyptic number.

It is an amenable number.

3828648 is an abundant number, since it is smaller than the sum of its proper divisors (5889912).

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

3828648 is a wasteful number, since it uses less digits than its factorization.

3828648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2453 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 3828648 is about 1956.6931287251. The cubic root of 3828648 is about 156.4402423030.

The spelling of 3828648 in words is "three million, eight hundred twenty-eight thousand, six hundred forty-eight".