1038791120 has 80 divisors (see below), whose sum is σ = 2567246400. Its totient is φ = 389548032.

The previous prime is 1038791101. The next prime is 1038791141. The reversal of 1038791120 is 211978301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 383531 + ... + 386229.

It is an arithmetic number, because the mean of its divisors is an integer number (32090580).

Almost surely, 2^1038791120 is an apocalyptic number.

1038791120 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 1038791120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283623200).

1038791120 is an abundant number, since it is smaller than the sum of its proper divisors (1528455280).

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

1038791120 is a wasteful number, since it uses less digits than its factorization.

1038791120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1038791120 is about 32230.2826546712. The cubic root of 1038791120 is about 1012.7666913185.

The spelling of 1038791120 in words is "one billion, thirty-eight million, seven hundred ninety-one thousand, one hundred twenty".