1038870144 has 256 divisors, whose sum is σ = 3478608000. Its totient is φ = 302579712.

The previous prime is 1038870137. The next prime is 1038870191. The reversal of 1038870144 is 4410788301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1038870099 and 1038870108.

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 31 ways as a sum of consecutive naturals, for example, 853024 + ... + 854240.

Almost surely, 2^1038870144 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 1038870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739304000).

1038870144 is an abundant number, since it is smaller than the sum of its proper divisors (2439737856).

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

1038870144 is a wasteful number, since it uses less digits than its factorization.

1038870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1038870144 is about 32231.5085591723. The cubic root of 1038870144 is about 1012.7923720815.

The spelling of 1038870144 in words is "one billion, thirty-eight million, eight hundred seventy thousand, one hundred forty-four".