38624838 has 48 divisors (see below), whose sum is σ = 91054080. Its totient is φ = 10889424.

The previous prime is 38624837. The next prime is 38624851. The reversal of 38624838 is 83842683.

38624838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38624838² = 2983756221052488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38624838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38624837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22395 + ... + 24057.

It is an arithmetic number, because the mean of its divisors is an integer number (1896960).

Almost surely, 2^38624838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38624838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45527040).

38624838 is an abundant number, since it is smaller than the sum of its proper divisors (52429242).

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

38624838 is a wasteful number, since it uses less digits than its factorization.

38624838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1754 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 38624838 is about 6214.8884141230. Note that the first 3 decimals coincide. The cubic root of 38624838 is about 338.0302425001.

The spelling of 38624838 in words is "thirty-eight million, six hundred twenty-four thousand, eight hundred thirty-eight".