3781248 has 64 divisors (see below), whose sum is σ = 10322400. Its totient is φ = 1225728.

The previous prime is 3781243. The next prime is 3781249. The reversal of 3781248 is 8421873.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3781243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16398 + ... + 16626.

Almost surely, 2^3781248 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 3781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161200).

3781248 is an abundant number, since it is smaller than the sum of its proper divisors (6541152).

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

3781248 is a wasteful number, since it uses less digits than its factorization.

3781248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

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

The square root of 3781248 is about 1944.5431340035. The cubic root of 3781248 is about 155.7919646418.

The spelling of 3781248 in words is "three million, seven hundred eighty-one thousand, two hundred forty-eight".