638383600 has 60 divisors (see below), whose sum is σ = 1536562120. Its totient is φ = 254880000.

The previous prime is 638383573. The next prime is 638383601. The reversal of 638383600 is 6383836.

638383600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 638383600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638383601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282475 + ... + 284725.

Almost surely, 2^638383600 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 638383600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768281060).

638383600 is an abundant number, since it is smaller than the sum of its proper divisors (898178520).

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

638383600 is a wasteful number, since it uses less digits than its factorization.

638383600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 638383600 is about 25266.2541742934. The cubic root of 638383600 is about 861.0477584872.

638383600 divided by its reverse (6383836) gives a square (100 = 10²).

The spelling of 638383600 in words is "six hundred thirty-eight million, three hundred eighty-three thousand, six hundred".