3641288 has 32 divisors (see below), whose sum is σ = 7968000. Its totient is φ = 1559376.

The previous prime is 3641263. The next prime is 3641311. The reversal of 3641288 is 8821463.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2081 + ... + 3407.

It is an arithmetic number, because the mean of its divisors is an integer number (249000).

Almost surely, 2^3641288 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 3641288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984000).

3641288 is an abundant number, since it is smaller than the sum of its proper divisors (4326712).

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

3641288 is a wasteful number, since it uses less digits than its factorization.

3641288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1336 counting only the distinct ones).

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

The square root of 3641288 is about 1908.2159206966. The cubic root of 3641288 is about 153.8455752286.

The spelling of 3641288 in words is "three million, six hundred forty-one thousand, two hundred eighty-eight".