3878448 has 120 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 1032192.

The previous prime is 3878447. The next prime is 3878449. The reversal of 3878448 is 8448783.

3878448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3878447) and next prime (3878449).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (3878447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39936 + ... + 40032.

Almost surely, 2^3878448 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 3878448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

3878448 is an abundant number, since it is smaller than the sum of its proper divisors (8589504).

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

3878448 is a wasteful number, since it uses less digits than its factorization.

3878448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 3878448 is about 1969.3775666438. The cubic root of 3878448 is about 157.1156058214.

The spelling of 3878448 in words is "three million, eight hundred seventy-eight thousand, four hundred forty-eight".