3388448 has 36 divisors (see below), whose sum is σ = 7763742. Its totient is φ = 1451520.

The previous prime is 3388439. The next prime is 3388459. The reversal of 3388448 is 8448833.

It can be written as a sum of positive squares in only one way, i.e., 2729104 + 659344 = 1652^2 + 812^2 .

It is a super-2 number, since 2×3388448² = 22963159697408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 488 + ... + 2648.

Almost surely, 2^3388448 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 3388448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881871).

3388448 is an abundant number, since it is smaller than the sum of its proper divisors (4375294).

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

3388448 is a wasteful number, since it uses less digits than its factorization.

3388448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2170 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 3388448 is about 1840.7737503561. The cubic root of 3388448 is about 150.1989655975.

It can be divided in two parts, 3388 and 448, that multiplied together give a square (1517824 = 1232²).

The spelling of 3388448 in words is "three million, three hundred eighty-eight thousand, four hundred forty-eight".