1038842112 has 216 divisors, whose sum is σ = 3475355968. Its totient is φ = 269660160.

The previous prime is 1038842083. The next prime is 1038842113. The reversal of 1038842112 is 2112488301.

It is a super-3 number, since 3×1038842112³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1038842112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038842113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649698 + ... + 651294.

Almost surely, 2^1038842112 is an apocalyptic number.

1038842112 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 1038842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737677984).

1038842112 is an abundant number, since it is smaller than the sum of its proper divisors (2436513856).

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

1038842112 is a wasteful number, since it uses less digits than its factorization.

1038842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1038842112 is about 32231.0737022520. The cubic root of 1038842112 is about 1012.7832625532.

The spelling of 1038842112 in words is "one billion, thirty-eight million, eight hundred forty-two thousand, one hundred twelve".