1038721320 has 480 divisors, whose sum is σ = 4336485120. Its totient is φ = 218350080.

The previous prime is 1038721297. The next prime is 1038721337. The reversal of 1038721320 is 231278301.

1038721320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3832785 + ... + 3833055.

It is an arithmetic number, because the mean of its divisors is an integer number (9034344).

Almost surely, 2^1038721320 is an apocalyptic number.

1038721320 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 1038721320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168242560).

1038721320 is an abundant number, since it is smaller than the sum of its proper divisors (3297763800).

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

1038721320 is a wasteful number, since it uses less digits than its factorization.

1038721320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1038721320 is about 32229.1998039045. The cubic root of 1038721320 is about 1012.7440070345.

Adding to 1038721320 its reverse (231278301), we get a palindrome (1269999621).

The spelling of 1038721320 in words is "one billion, thirty-eight million, seven hundred twenty-one thousand, three hundred twenty".