3926448 has 80 divisors (see below), whose sum is σ = 11532000. Its totient is φ = 1278720.

The previous prime is 3926441. The next prime is 3926467. The reversal of 3926448 is 8446293.

It is a happy number.

3926448 is a `hidden beast` number, since 3 + 9 + 2 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (3926441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26278 + ... + 26426.

It is an arithmetic number, because the mean of its divisors is an integer number (144150).

Almost surely, 2^3926448 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 3926448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766000).

3926448 is an abundant number, since it is smaller than the sum of its proper divisors (7605552).

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

3926448 is a wasteful number, since it uses less digits than its factorization.

3926448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3926448 is about 1981.5266841504. The cubic root of 3926448 is about 157.7611088358.

The spelling of 3926448 in words is "three million, nine hundred twenty-six thousand, four hundred forty-eight".