3639642336 has 288 divisors, whose sum is σ = 12403093248. Its totient is φ = 1037629440.

The previous prime is 3639642277. The next prime is 3639642359. The reversal of 3639642336 is 6332469363.

3639642336 is a `hidden beast` number, since 3 + 639 + 6 + 4 + 2 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3639642291 and 3639642300.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1452861 + ... + 1455363.

It is an arithmetic number, because the mean of its divisors is an integer number (43066296).

Almost surely, 2^3639642336 is an apocalyptic number.

3639642336 is a gapful number since it is divisible by the number (36) 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 3639642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201546624).

3639642336 is an abundant number, since it is smaller than the sum of its proper divisors (8763450912).

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

3639642336 is a wasteful number, since it uses less digits than its factorization.

3639642336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2536 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 45.

The square root of 3639642336 is about 60329.4483316398. The cubic root of 3639642336 is about 1538.2239512719.

The spelling of 3639642336 in words is "three billion, six hundred thirty-nine million, six hundred forty-two thousand, three hundred thirty-six".