1038412320 has 288 divisors, whose sum is σ = 3788648640. Its totient is φ = 238233600.

The previous prime is 1038412307. The next prime is 1038412321. The reversal of 1038412320 is 232148301.

1038412320 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 (24).

It is not an unprimeable number, because it can be changed into a prime (1038412321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103050 + ... + 1103990.

It is an arithmetic number, because the mean of its divisors is an integer number (13155030).

Almost surely, 2^1038412320 is an apocalyptic number.

1038412320 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 1038412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894324320).

1038412320 is an abundant number, since it is smaller than the sum of its proper divisors (2750236320).

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

1038412320 is a wasteful number, since it uses less digits than its factorization.

1038412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1038412320 is about 32224.4056578240. The cubic root of 1038412320 is about 1012.6435729950.

The spelling of 1038412320 in words is "one billion, thirty-eight million, four hundred twelve thousand, three hundred twenty".