38438369424 has 320 divisors, whose sum is σ = 138957772800. Its totient is φ = 9901398528.

The previous prime is 38438369423. The next prime is 38438369443. The reversal of 38438369424 is 42496383483.

38438369424 is a `hidden beast` number, since 3 + 84 + 3 + 83 + 69 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38438369423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1679047 + ... + 1701785.

It is an arithmetic number, because the mean of its divisors is an integer number (434243040).

Almost surely, 2^38438369424 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 38438369424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69478886400).

38438369424 is an abundant number, since it is smaller than the sum of its proper divisors (100519403376).

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

38438369424 is a wasteful number, since it uses less digits than its factorization.

38438369424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22819 (or 22807 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 38438369424 in words is "thirty-eight billion, four hundred thirty-eight million, three hundred sixty-nine thousand, four hundred twenty-four".