3682242168 has 64 divisors (see below), whose sum is σ = 10062057600. Its totient is φ = 1113655680.

The previous prime is 3682242167. The next prime is 3682242173. The reversal of 3682242168 is 8612422863.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682242167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124738 + ... + 151406.

It is an arithmetic number, because the mean of its divisors is an integer number (157219650).

Almost surely, 2^3682242168 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 3682242168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031028800).

3682242168 is an abundant number, since it is smaller than the sum of its proper divisors (6379815432).

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

3682242168 is a wasteful number, since it uses less digits than its factorization.

3682242168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27212 (or 27208 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 3682242168 is about 60681.4812607603. The cubic root of 3682242168 is about 1544.2020181405.

The spelling of 3682242168 in words is "three billion, six hundred eighty-two million, two hundred forty-two thousand, one hundred sixty-eight".