638042034 has 96 divisors (see below), whose sum is σ = 1561424256. Its totient is φ = 172972800.

The previous prime is 638042033. The next prime is 638042039. The reversal of 638042034 is 430240836.

It is a super-3 number, since 3×638042034³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 638041992 and 638042010.

It is not an unprimeable number, because it can be changed into a prime (638042033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061334 + ... + 1061934.

It is an arithmetic number, because the mean of its divisors is an integer number (16264836).

Almost surely, 2^638042034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638042034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780712128).

638042034 is an abundant number, since it is smaller than the sum of its proper divisors (923382222).

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

638042034 is a wasteful number, since it uses less digits than its factorization.

638042034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 638042034 is about 25259.4939379236. The cubic root of 638042034 is about 860.8941637375.

The spelling of 638042034 in words is "six hundred thirty-eight million, forty-two thousand, thirty-four".