3641768 has 48 divisors (see below), whose sum is σ = 7840980. Its totient is φ = 1575936.

The previous prime is 3641767. The next prime is 3641773. The reversal of 3641768 is 8671463.

3641768 is nontrivially palindromic in base 6.

3641768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3467044 + 174724 = 1862^2 + 418^2 .

It is not an unprimeable number, because it can be changed into a prime (3641767) 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 11 ways as a sum of consecutive naturals, for example, 37496 + ... + 37592.

Almost surely, 2^3641768 is an apocalyptic number.

3641768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3641768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920490).

3641768 is an abundant number, since it is smaller than the sum of its proper divisors (4199212).

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

3641768 is a wasteful number, since it uses less digits than its factorization.

3641768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 3641768 is about 1908.3416884824. The cubic root of 3641768 is about 153.8523349824.

The spelling of 3641768 in words is "three million, six hundred forty-one thousand, seven hundred sixty-eight".