38748160 has 120 divisors (see below), whose sum is σ = 103805856. Its totient is φ = 13762560.

The previous prime is 38748137. The next prime is 38748161. The reversal of 38748160 is 6184783.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38748161) 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 7 ways as a sum of consecutive naturals, for example, 901099 + ... + 901141.

Almost surely, 2^38748160 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 38748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51902928).

38748160 is an abundant number, since it is smaller than the sum of its proper divisors (65057696).

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

38748160 is an equidigital number, since it uses as much as digits as its factorization.

38748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 38748160 is about 6224.8020048834. The cubic root of 38748160 is about 338.3896164195.

The spelling of 38748160 in words is "thirty-eight million, seven hundred forty-eight thousand, one hundred sixty".