3682118112 has 96 divisors (see below), whose sum is σ = 9903366144. Its totient is φ = 1197504000.

The previous prime is 3682118107. The next prime is 3682118147. The reversal of 3682118112 is 2118112863.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741237 + ... + 746187.

It is an arithmetic number, because the mean of its divisors is an integer number (103160064).

Almost surely, 2^3682118112 is an apocalyptic number.

3682118112 is a gapful number since it is divisible by the number (32) 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 3682118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951683072).

3682118112 is an abundant number, since it is smaller than the sum of its proper divisors (6221248032).

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

3682118112 is a wasteful number, since it uses less digits than its factorization.

3682118112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5144 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 3682118112 is about 60680.4590622055. The cubic root of 3682118112 is about 1544.1846763808.

The spelling of 3682118112 in words is "three billion, six hundred eighty-two million, one hundred eighteen thousand, one hundred twelve".