3639638016 has 192 divisors, whose sum is σ = 12323001600. Its totient is φ = 1039785984.

The previous prime is 3639637999. The next prime is 3639638021. The reversal of 3639638016 is 6108369363.

3639638016 is a `hidden beast` number, since 3 + 6 + 3 + 9 + 638 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382371 + ... + 391773.

It is an arithmetic number, because the mean of its divisors is an integer number (64182300).

Almost surely, 2^3639638016 is an apocalyptic number.

3639638016 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 3639638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161500800).

3639638016 is an abundant number, since it is smaller than the sum of its proper divisors (8683363584).

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

3639638016 is an equidigital number, since it uses as much as digits as its factorization.

3639638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3639638016 is about 60329.4125282188. The cubic root of 3639638016 is about 1538.2233426837.

The spelling of 3639638016 in words is "three billion, six hundred thirty-nine million, six hundred thirty-eight thousand, sixteen".