3631248 has 60 divisors (see below), whose sum is σ = 10291008. Its totient is φ = 1195200.

The previous prime is 3631237. The next prime is 3631249. The reversal of 3631248 is 8421363.

It is a happy number.

3631248 is a `hidden beast` number, since 3 + 631 + 24 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3631249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21661 + ... + 21827.

Almost surely, 2^3631248 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 3631248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

3631248 is an abundant number, since it is smaller than the sum of its proper divisors (6659760).

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

3631248 is a wasteful number, since it uses less digits than its factorization.

3631248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3631248 is about 1905.5833752423. The cubic root of 3631248 is about 153.7040473418.

The spelling of 3631248 in words is "three million, six hundred thirty-one thousand, two hundred forty-eight".