1038363920 has 60 divisors (see below), whose sum is σ = 2653645260. Its totient is φ = 377583360.

The previous prime is 1038363919. The next prime is 1038363929. The reversal of 1038363920 is 293638301.

It can be written as a sum of positive squares in 2 ways, for example, as 121969936 + 916393984 = 11044^2 + 30272^2 .

It is not an unprimeable number, because it can be changed into a prime (1038363929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43955 + ... + 63314.

It is an arithmetic number, because the mean of its divisors is an integer number (44227421).

Almost surely, 2^1038363920 is an apocalyptic number.

1038363920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038363920 is an abundant number, since it is smaller than the sum of its proper divisors (1615281340).

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

1038363920 is a wasteful number, since it uses less digits than its factorization.

1038363920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107304 (or 107287 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 1038363920 is about 32223.6546654783. The cubic root of 1038363920 is about 1012.6278397744.

The spelling of 1038363920 in words is "one billion, thirty-eight million, three hundred sixty-three thousand, nine hundred twenty".