38663424 has 108 divisors (see below), whose sum is σ = 113276436. Its totient is φ = 12681216.

The previous prime is 38663411. The next prime is 38663441. The reversal of 38663424 is 42436683.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27373824 + 11289600 = 5232^2 + 3360^2 .

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 an unprimeable number.

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, 223402 + ... + 223574.

Almost surely, 2^38663424 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 38663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56638218).

38663424 is an abundant number, since it is smaller than the sum of its proper divisors (74613012).

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

38663424 is a wasteful number, since it uses less digits than its factorization.

38663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 38663424 is about 6217.9919588240. The cubic root of 38663424 is about 338.1427684864.

The spelling of 38663424 in words is "thirty-eight million, six hundred sixty-three thousand, four hundred twenty-four".