38793168 has 100 divisors (see below), whose sum is σ = 115455780. Its totient is φ = 12566016.

The previous prime is 38793163. The next prime is 38793179. The reversal of 38793168 is 86139783.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 4359744 = 5868^2 + 2088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38793163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47548 + ... + 48356.

Almost surely, 2^38793168 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 38793168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57727890).

38793168 is an abundant number, since it is smaller than the sum of its proper divisors (76662612).

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

38793168 is a wasteful number, since it uses less digits than its factorization.

38793168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 851 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 38793168 is about 6228.4161710663. The cubic root of 38793168 is about 338.5205847610.

The spelling of 38793168 in words is "thirty-eight million, seven hundred ninety-three thousand, one hundred sixty-eight".