1038469120 has 192 divisors, whose sum is σ = 2786238000. Its totient is φ = 368836608.

The previous prime is 1038469109. The next prime is 1038469127. The reversal of 1038469120 is 219648301.

It can be written as a sum of positive squares in 8 ways, for example, as 72999936 + 965469184 = 8544^2 + 31072^2 .

It is a super-2 number, since 2×1038469120² = 2156836226387148800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1038469127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3860346 + ... + 3860614.

Almost surely, 2^1038469120 is an apocalyptic number.

1038469120 is a gapful number since it is divisible by the number (10) 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 1038469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393119000).

1038469120 is an abundant number, since it is smaller than the sum of its proper divisors (1747768880).

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

1038469120 is a wasteful number, since it uses less digits than its factorization.

1038469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1038469120 is about 32225.2869653631. The cubic root of 1038469120 is about 1012.6620361511.

The spelling of 1038469120 in words is "one billion, thirty-eight million, four hundred sixty-nine thousand, one hundred twenty".