638008272 has 320 divisors, whose sum is σ = 2125578240. Its totient is φ = 181440000.

The previous prime is 638008229. The next prime is 638008291. The reversal of 638008272 is 272800836.

It is a happy number.

638008272 is a `hidden beast` number, since 6 + 380 + 0 + 8 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8985997 + ... + 8986067.

It is an arithmetic number, because the mean of its divisors is an integer number (6642432).

Almost surely, 2^638008272 is an apocalyptic number.

638008272 is a gapful number since it is divisible by the number (62) 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 638008272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062789120).

638008272 is an abundant number, since it is smaller than the sum of its proper divisors (1487569968).

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

638008272 is a wasteful number, since it uses less digits than its factorization.

638008272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 638008272 is about 25258.8256259075. The cubic root of 638008272 is about 860.8789787289.

The spelling of 638008272 in words is "six hundred thirty-eight million, eight thousand, two hundred seventy-two".