1038640320 has 504 divisors, whose sum is σ = 4015733904. Its totient is φ = 255301632.

The previous prime is 1038640319. The next prime is 1038640391. The reversal of 1038640320 is 230468301.

It is a happy number.

1038640320 is a `hidden beast` number, since 10 + 3 + 8 + 640 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28071342 + ... + 28071378.

It is an arithmetic number, because the mean of its divisors is an integer number (7967726).

Almost surely, 2^1038640320 is an apocalyptic number.

1038640320 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 1038640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007866952).

1038640320 is an abundant number, since it is smaller than the sum of its proper divisors (2977093584).

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

1038640320 is an equidigital number, since it uses as much as digits as its factorization.

1038640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1038640320 is about 32227.9431549703. The cubic root of 1038640320 is about 1012.7176815914.

The spelling of 1038640320 in words is "one billion, thirty-eight million, six hundred forty thousand, three hundred twenty".