3817248 has 48 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1197056.

The previous prime is 3817237. The next prime is 3817249. The reversal of 3817248 is 8427183.

3817248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3817249) by changing a digit.

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, 463 + ... + 2801.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 2^3817248 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 3817248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3817248 is an abundant number, since it is smaller than the sum of its proper divisors (6796992).

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

3817248 is a wasteful number, since it uses less digits than its factorization.

3817248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2361 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 3817248 is about 1953.7778788798. Note that the first 3 decimals coincide. The cubic root of 3817248 is about 156.2848182673.

The spelling of 3817248 in words is "three million, eight hundred seventeen thousand, two hundred forty-eight".