3696448 has 56 divisors (see below), whose sum is σ = 8648192. Its totient is φ = 1534464.

The previous prime is 3696421. The next prime is 3696449. The reversal of 3696448 is 8446963.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 3696448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3696449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16465 + ... + 16687.

It is an arithmetic number, because the mean of its divisors is an integer number (154432).

Almost surely, 2^3696448 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 3696448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324096).

3696448 is an abundant number, since it is smaller than the sum of its proper divisors (4951744).

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

3696448 is a wasteful number, since it uses less digits than its factorization.

3696448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 3696448 is about 1922.6148860341. The cubic root of 3696448 is about 154.6185277588.

The spelling of 3696448 in words is "three million, six hundred ninety-six thousand, four hundred forty-eight".