38623824 has 80 divisors (see below), whose sum is σ = 114724800. Its totient is φ = 12426624.

The previous prime is 38623817. The next prime is 38623843. The reversal of 38623824 is 42832683.

38623824 is a `hidden beast` number, since 3 + 8 + 623 + 8 + 24 = 666.

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 15 ways as a sum of consecutive naturals, for example, 10987 + ... + 14069.

It is an arithmetic number, because the mean of its divisors is an integer number (1434060).

Almost surely, 2^38623824 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 38623824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57362400).

38623824 is an abundant number, since it is smaller than the sum of its proper divisors (76100976).

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

38623824 is a wasteful number, since it uses less digits than its factorization.

38623824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3117 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38623824 is about 6214.8068352926. The cubic root of 38623824 is about 338.0272844237.

The spelling of 38623824 in words is "thirty-eight million, six hundred twenty-three thousand, eight hundred twenty-four".