638741376 has 320 divisors, whose sum is σ = 2343005280. Its totient is φ = 168210432.

The previous prime is 638741371. The next prime is 638741387. The reversal of 638741376 is 673147836.

638741376 is a `hidden beast` number, since 638 + 7 + 4 + 1 + 3 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638741371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943150 + ... + 943826.

Almost surely, 2^638741376 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 638741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171502640).

638741376 is an abundant number, since it is smaller than the sum of its proper divisors (1704263904).

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

638741376 is a wasteful number, since it uses less digits than its factorization.

638741376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 702 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 638741376 is about 25273.3332981623. Note that the first 3 decimals coincide. The cubic root of 638741376 is about 861.2085837812.

The spelling of 638741376 in words is "six hundred thirty-eight million, seven hundred forty-one thousand, three hundred seventy-six".