38605424 has 80 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 15809280.

The previous prime is 38605421. The next prime is 38605429. The reversal of 38605424 is 42450683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38605421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107357 + ... + 107715.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^38605424 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 38605424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

38605424 is an abundant number, since it is smaller than the sum of its proper divisors (51388816).

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

38605424 is a wasteful number, since it uses less digits than its factorization.

38605424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 38605424 is about 6213.3263233151. The cubic root of 38605424 is about 337.9735983019.

The spelling of 38605424 in words is "thirty-eight million, six hundred five thousand, four hundred twenty-four".