1038824384 has 56 divisors (see below), whose sum is σ = 2291657088. Its totient is φ = 463979520.

The previous prime is 1038824363. The next prime is 1038824407. The reversal of 1038824384 is 4834288301.

It is a super-2 number, since 2×1038824384² = 2158312201585958912, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5654 + ... + 45930.

It is an arithmetic number, because the mean of its divisors is an integer number (40922448).

Almost surely, 2^1038824384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145828544).

1038824384 is an abundant number, since it is smaller than the sum of its proper divisors (1252832704).

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

1038824384 is a wasteful number, since it uses less digits than its factorization.

1038824384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40333 (or 40323 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 1038824384 is about 32230.7986869702. The cubic root of 1038824384 is about 1012.7775014198. Note that the first 3 decimals are identical.

The spelling of 1038824384 in words is "one billion, thirty-eight million, eight hundred twenty-four thousand, three hundred eighty-four".