38013824 has 16 divisors (see below), whose sum is σ = 75730920. Its totient is φ = 19006848.

The previous prime is 38013823. The next prime is 38013827. The reversal of 38013824 is 42831083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38013823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 148364 + ... + 148619.

Almost surely, 2^38013824 is an apocalyptic number.

It is an amenable number.

38013824 is a deficient number, since it is larger than the sum of its proper divisors (37717096).

38013824 is an equidigital number, since it uses as much as digits as its factorization.

38013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296997 (or 296985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 38013824 is about 6165.5351754734. The cubic root of 38013824 is about 336.2383041127.

The spelling of 38013824 in words is "thirty-eight million, thirteen thousand, eight hundred twenty-four".