38775168 has 96 divisors (see below), whose sum is σ = 113054760. Its totient is φ = 12754944.

The previous prime is 38775167. The next prime is 38775197. The reversal of 38775168 is 86157783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38775167) 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 11 ways as a sum of consecutive naturals, for example, 111571 + ... + 111917.

Almost surely, 2^38775168 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 38775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56527380).

38775168 is an abundant number, since it is smaller than the sum of its proper divisors (74279592).

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

38775168 is a wasteful number, since it uses less digits than its factorization.

38775168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 38775168 is about 6226.9710132616. The cubic root of 38775168 is about 338.4682188976.

It can be divided in two parts, 3877 and 5168, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 38775168 in words is "thirty-eight million, seven hundred seventy-five thousand, one hundred sixty-eight".