1038673920 has 96 divisors (see below), whose sum is σ = 3323043360. Its totient is φ = 276971520.

The previous prime is 1038673919. The next prime is 1038673927. The reversal of 1038673920 is 293768301.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1038673927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13815 + ... + 47625.

It is an arithmetic number, because the mean of its divisors is an integer number (34615035).

Almost surely, 2^1038673920 is an apocalyptic number.

1038673920 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 1038673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661521680).

1038673920 is an abundant number, since it is smaller than the sum of its proper divisors (2284369440).

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

1038673920 is an equidigital number, since it uses as much as digits as its factorization.

1038673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33841 (or 33821 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1038673920 is about 32228.4644375124. The cubic root of 1038673920 is about 1012.7286019413.

The spelling of 1038673920 in words is "one billion, thirty-eight million, six hundred seventy-three thousand, nine hundred twenty".