638033984 has 112 divisors (see below), whose sum is σ = 1589836800. Its totient is φ = 247712256.

The previous prime is 638033933. The next prime is 638034037. The reversal of 638033984 is 489330836.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194147 + ... + 197405.

Almost surely, 2^638033984 is an apocalyptic number.

638033984 is a gapful number since it is divisible by the number (64) 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 638033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794918400).

638033984 is an abundant number, since it is smaller than the sum of its proper divisors (951802816).

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

638033984 is a wasteful number, since it uses less digits than its factorization.

638033984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 638033984 is about 25259.3345913941. The cubic root of 638033984 is about 860.8905431677.

The spelling of 638033984 in words is "six hundred thirty-eight million, thirty-three thousand, nine hundred eighty-four".