638045100 has 648 divisors, whose sum is σ = 2689383424. Its totient is φ = 128304000.

The previous prime is 638045077. The next prime is 638045113. The reversal of 638045100 is 1540836.

638045100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20582085 + ... + 20582115.

Almost surely, 2^638045100 is an apocalyptic number.

638045100 is a gapful number since it is divisible by the number (60) 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 638045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344691712).

638045100 is an abundant number, since it is smaller than the sum of its proper divisors (2051338324).

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

638045100 is a wasteful number, since it uses less digits than its factorization.

638045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 638045100 is about 25259.5546279027. The cubic root of 638045100 is about 860.8955426944.

Adding to 638045100 its reverse (1540836), we get a palindrome (639585936).

The spelling of 638045100 in words is "six hundred thirty-eight million, forty-five thousand, one hundred".