38393424 has 60 divisors (see below), whose sum is σ = 109293600. Its totient is φ = 12578112.

The previous prime is 38393423. The next prime is 38393441. The reversal of 38393424 is 42439383.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38393423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6237 + ... + 10755.

It is an arithmetic number, because the mean of its divisors is an integer number (1821560).

Almost surely, 2^38393424 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 38393424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54646800).

38393424 is an abundant number, since it is smaller than the sum of its proper divisors (70900176).

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

38393424 is a wasteful number, since it uses less digits than its factorization.

38393424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4583 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 38393424 is about 6196.2427324952. The cubic root of 38393424 is about 337.3538066421.

The spelling of 38393424 in words is "thirty-eight million, three hundred ninety-three thousand, four hundred twenty-four".