1038333920 has 96 divisors (see below), whose sum is σ = 2686854240. Its totient is φ = 376842240.

The previous prime is 1038333913. The next prime is 1038333929. The reversal of 1038333920 is 293338301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038333929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118490 + ... + 126950.

It is an arithmetic number, because the mean of its divisors is an integer number (27988065).

Almost surely, 2^1038333920 is an apocalyptic number.

1038333920 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 1038333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343427120).

1038333920 is an abundant number, since it is smaller than the sum of its proper divisors (1648520320).

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

1038333920 is a wasteful number, since it uses less digits than its factorization.

1038333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8540 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 1038333920 is about 32223.1891655683. The cubic root of 1038333920 is about 1012.6180875327.

The spelling of 1038333920 in words is "one billion, thirty-eight million, three hundred thirty-three thousand, nine hundred twenty".