38133504 has 108 divisors (see below), whose sum is σ = 114206456. Its totient is φ = 12690432.

The previous prime is 38133493. The next prime is 38133523. The reversal of 38133504 is 40533183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 61902 + ... + 62514.

Almost surely, 2^38133504 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 38133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57103228).

38133504 is an abundant number, since it is smaller than the sum of its proper divisors (76072952).

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

38133504 is an frugal number, since it uses more digits than its factorization.

38133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 38133504 is about 6175.2331130088. The cubic root of 38133504 is about 336.5907973120.

Adding to 38133504 its reverse (40533183), we get a palindrome (78666687).

The spelling of 38133504 in words is "thirty-eight million, one hundred thirty-three thousand, five hundred four".