38807424 has 160 divisors (see below), whose sum is σ = 122185800. Its totient is φ = 12192768.

The previous prime is 38807411. The next prime is 38807429. The reversal of 38807424 is 42470883.

It is a super-3 number, since 3×38807424³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38807429) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196894 + ... + 197090.

Almost surely, 2^38807424 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 38807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61092900).

38807424 is an abundant number, since it is smaller than the sum of its proper divisors (83378376).

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

38807424 is a wasteful number, since it uses less digits than its factorization.

38807424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38807424 is about 6229.5604981411. The cubic root of 38807424 is about 338.5620470310.

The spelling of 38807424 in words is "thirty-eight million, eight hundred seven thousand, four hundred twenty-four".