38133760 has 168 divisors, whose sum is σ = 112059720. Its totient is φ = 12386304.

The previous prime is 38133757. The next prime is 38133761. The reversal of 38133760 is 6733183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38133761) 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 in 11 ways as a sum of consecutive naturals, for example, 2007031 + ... + 2007049.

Almost surely, 2^38133760 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 38133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56029860).

38133760 is an abundant number, since it is smaller than the sum of its proper divisors (73925960).

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

38133760 is an equidigital number, since it uses as much as digits as its factorization.

38133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 38133760 is about 6175.2538409364. The cubic root of 38133760 is about 336.5915505171.

The spelling of 38133760 in words is "thirty-eight million, one hundred thirty-three thousand, seven hundred sixty".