638131312 has 240 divisors, whose sum is σ = 1709890560. Its totient is φ = 227598336.

The previous prime is 638131303. The next prime is 638131327. The reversal of 638131312 is 213131836.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5024593 + ... + 5024719.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^638131312 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 638131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

638131312 is an abundant number, since it is smaller than the sum of its proper divisors (1071759248).

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

638131312 is a wasteful number, since it uses less digits than its factorization.

638131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 638131312 is about 25261.2610928275. The cubic root of 638131312 is about 860.9343153892.

The spelling of 638131312 in words is "six hundred thirty-eight million, one hundred thirty-one thousand, three hundred twelve".