1038638172 has 72 divisors (see below), whose sum is σ = 2862881280. Its totient is φ = 290521920.

The previous prime is 1038638147. The next prime is 1038638203. The reversal of 1038638172 is 2718368301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1038638172.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 972 + ... + 45587.

It is an arithmetic number, because the mean of its divisors is an integer number (39762240).

Almost surely, 2^1038638172 is an apocalyptic number.

1038638172 is a gapful number since it is divisible by the number (12) 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 1038638172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431440640).

1038638172 is an abundant number, since it is smaller than the sum of its proper divisors (1824243108).

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

1038638172 is a wasteful number, since it uses less digits than its factorization.

1038638172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46603 (or 46588 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1038638172 is about 32227.9098298354. The cubic root of 1038638172 is about 1012.7169834611.

The spelling of 1038638172 in words is "one billion, thirty-eight million, six hundred thirty-eight thousand, one hundred seventy-two".