3633646016 has 168 divisors, whose sum is σ = 9736677504. Its totient is φ = 1306506240.

The previous prime is 3633645989. The next prime is 3633646019. The reversal of 3633646016 is 6106463363.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633646019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830651 + ... + 835013.

Almost surely, 2^3633646016 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 3633646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868338752).

3633646016 is an abundant number, since it is smaller than the sum of its proper divisors (6103031488).

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

3633646016 is a wasteful number, since it uses less digits than its factorization.

3633646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 38.

The square root of 3633646016 is about 60279.7313862628. The cubic root of 3633646016 is about 1537.3787443184.

The spelling of 3633646016 in words is "three billion, six hundred thirty-three million, six hundred forty-six thousand, sixteen".