1038784320 has 504 divisors, whose sum is σ = 4410983304. Its totient is φ = 222953472.

The previous prime is 1038784319. The next prime is 1038784387. The reversal of 1038784320 is 234878301.

It can be written as a sum of positive squares in 4 ways, for example, as 62346816 + 976437504 = 7896^2 + 31248^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2398824 + ... + 2399256.

It is an arithmetic number, because the mean of its divisors is an integer number (8751951).

Almost surely, 2^1038784320 is an apocalyptic number.

1038784320 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 1038784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205491652).

1038784320 is an abundant number, since it is smaller than the sum of its proper divisors (3372198984).

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

1038784320 is a wasteful number, since it uses less digits than its factorization.

1038784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1038784320 is about 32230.1771636459. The cubic root of 1038784320 is about 1012.7644814330.

The spelling of 1038784320 in words is "one billion, thirty-eight million, seven hundred eighty-four thousand, three hundred twenty".