38353824 has 60 divisors (see below), whose sum is σ = 112805154. Its totient is φ = 12783744.

The previous prime is 38353823. The next prime is 38353871. The reversal of 38353824 is 42835383.

It can be written as a sum of positive squares in only one way, i.e., 34433424 + 3920400 = 5868^2 + 1980^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38353823) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4807 + ... + 9990.

Almost surely, 2^38353824 is an apocalyptic number.

It is an amenable number.

38353824 is an abundant number, since it is smaller than the sum of its proper divisors (74451330).

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

38353824 is a wasteful number, since it uses less digits than its factorization.

38353824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819 (or 14802 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 38353824 is about 6193.0464232072. The cubic root of 38353824 is about 337.2377815089.

The spelling of 38353824 in words is "thirty-eight million, three hundred fifty-three thousand, eight hundred twenty-four".