3668448 has 96 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 1018368.

The previous prime is 3668419. The next prime is 3668461. The reversal of 3668448 is 8448663.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35565 + ... + 35667.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 2^3668448 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 3668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3668448 is an abundant number, since it is smaller than the sum of its proper divisors (7653408).

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

3668448 is a wasteful number, since it uses less digits than its factorization.

3668448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 3668448 is about 1915.3192945303. The cubic root of 3668448 is about 154.2271343355.

The spelling of 3668448 in words is "three million, six hundred sixty-eight thousand, four hundred forty-eight".