3428448 has 48 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 1124480.

The previous prime is 3428437. The next prime is 3428471. The reversal of 3428448 is 8448243.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6565 + ... + 7067.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 2^3428448 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 3428448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

3428448 is an abundant number, since it is smaller than the sum of its proper divisors (5716128).

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

3428448 is a wasteful number, since it uses less digits than its factorization.

3428448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 3428448 is about 1851.6068697215. The cubic root of 3428448 is about 150.7876787303.

It can be divided in two parts, 34 and 28448, that added together give a palindrome (28482).

The spelling of 3428448 in words is "three million, four hundred twenty-eight thousand, four hundred forty-eight".