638084304 has 300 divisors, whose sum is σ = 2193089668. Its totient is φ = 177914880.

The previous prime is 638084297. The next prime is 638084327. The reversal of 638084304 is 403480836.

It can be written as a sum of positive squares in 2 ways, for example, as 35283600 + 602800704 = 5940^2 + 24552^2 .

It is a super-2 number, since 2×638084304² = 814303158022328832, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 2038452 + ... + 2038764.

Almost surely, 2^638084304 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 638084304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096544834).

638084304 is an abundant number, since it is smaller than the sum of its proper divisors (1555005364).

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

638084304 is a wasteful number, since it uses less digits than its factorization.

638084304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 638084304 is about 25260.3306391662. The cubic root of 638084304 is about 860.9131746024.

The spelling of 638084304 in words is "six hundred thirty-eight million, eighty-four thousand, three hundred four".