3657248 has 48 divisors (see below), whose sum is σ = 8527680. Its totient is φ = 1510656.

The previous prime is 3657239. The next prime is 3657259. The reversal of 3657248 is 8427563.

It is a happy number.

3657248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6215 + ... + 6777.

It is an arithmetic number, because the mean of its divisors is an integer number (177660).

Almost surely, 2^3657248 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 3657248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263840).

3657248 is an abundant number, since it is smaller than the sum of its proper divisors (4870432).

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

3657248 is a wasteful number, since it uses less digits than its factorization.

3657248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 3657248 is about 1912.3932649955. The cubic root of 3657248 is about 154.0700193204.

The spelling of 3657248 in words is "three million, six hundred fifty-seven thousand, two hundred forty-eight".