638984304300 has 144 divisors (see below), whose sum is σ = 1893562415360. Its totient is φ = 166277180160.

The previous prime is 638984304251. The next prime is 638984304313. The reversal of 638984304300 is 3403489836.

It is a super-2 number, since 2×638984304300² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 638984304300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14077041 + ... + 14122359.

Almost surely, 2^638984304300 is an apocalyptic number.

638984304300 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 638984304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946781207680).

638984304300 is an abundant number, since it is smaller than the sum of its proper divisors (1254578111060).

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

638984304300 is a wasteful number, since it uses less digits than its factorization.

638984304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46472 (or 46465 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 638984304300 in words is "six hundred thirty-eight billion, nine hundred eighty-four million, three hundred four thousand, three hundred".