3681248 has 48 divisors (see below), whose sum is σ = 7865424. Its totient is φ = 1689600.

The previous prime is 3681239. The next prime is 3681253. The reversal of 3681248 is 8421863.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36398 + ... + 36498.

It is an arithmetic number, because the mean of its divisors is an integer number (163863).

Almost surely, 2^3681248 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 3681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932712).

3681248 is an abundant number, since it is smaller than the sum of its proper divisors (4184176).

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

3681248 is a wasteful number, since it uses less digits than its factorization.

3681248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 3681248 is about 1918.6578642374. The cubic root of 3681248 is about 154.4063032676.

The spelling of 3681248 in words is "three million, six hundred eighty-one thousand, two hundred forty-eight".