3638622768 has 240 divisors, whose sum is σ = 10851376896. Its totient is φ = 1041600000.

The previous prime is 3638622739. The next prime is 3638622769. The reversal of 3638622768 is 8672268363.

Its product of digits (3483648) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 3638622768.

It is not an unprimeable number, because it can be changed into a prime (3638622769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36025918 + ... + 36026018.

Almost surely, 2^3638622768 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 3638622768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425688448).

3638622768 is an abundant number, since it is smaller than the sum of its proper divisors (7212754128).

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

3638622768 is a wasteful number, since it uses less digits than its factorization.

3638622768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 3638622768 is about 60320.9977371064. The cubic root of 3638622768 is about 1538.0803043382.

The spelling of 3638622768 in words is "three billion, six hundred thirty-eight million, six hundred twenty-two thousand, seven hundred sixty-eight".