1038868320 has 192 divisors, whose sum is σ = 3937006080. Its totient is φ = 224944128.

The previous prime is 1038868309. The next prime is 1038868343. The reversal of 1038868320 is 238688301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55704 + ... + 71976.

It is an arithmetic number, because the mean of its divisors is an integer number (20505240).

Almost surely, 2^1038868320 is an apocalyptic number.

1038868320 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 1038868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968503040).

1038868320 is an abundant number, since it is smaller than the sum of its proper divisors (2898137760).

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

1038868320 is a wasteful number, since it uses less digits than its factorization.

1038868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16317 (or 16309 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1038868320 is about 32231.4802638663. The cubic root of 1038868320 is about 1012.7917793432.

The spelling of 1038868320 in words is "one billion, thirty-eight million, eight hundred sixty-eight thousand, three hundred twenty".