3819648 has 128 divisors (see below), whose sum is σ = 12240000. Its totient is φ = 1053696.

The previous prime is 3819631. The next prime is 3819661. The reversal of 3819648 is 8469183.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131698 + ... + 131726.

It is an arithmetic number, because the mean of its divisors is an integer number (95625).

Almost surely, 2^3819648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120000).

3819648 is an abundant number, since it is smaller than the sum of its proper divisors (8420352).

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

3819648 is an equidigital number, since it uses as much as digits as its factorization.

3819648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 3819648 is about 1954.3919770609. The cubic root of 3819648 is about 156.3175648064.

The spelling of 3819648 in words is "three million, eight hundred nineteen thousand, six hundred forty-eight".