3649248 has 36 divisors (see below), whose sum is σ = 10378368. Its totient is φ = 1216320.

The previous prime is 3649241. The next prime is 3649253. The reversal of 3649248 is 8429463.

It is a happy number.

3649248 is a `hidden beast` number, since 3 + 649 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3649241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6048 + ... + 6623.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 2^3649248 is an apocalyptic number.

It is an amenable number.

3649248 is an abundant number, since it is smaller than the sum of its proper divisors (6729120).

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

3649248 is a wasteful number, since it uses less digits than its factorization.

3649248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12676 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3649248 is about 1910.3004999214. The cubic root of 3649248 is about 153.9575978162.

It can be divided in two parts, 36 and 49248, that added together give a square (49284 = 222²).

The spelling of 3649248 in words is "three million, six hundred forty-nine thousand, two hundred forty-eight".