38271168 has 168 divisors, whose sum is σ = 124815600. Its totient is φ = 11114496.

The previous prime is 38271133. The next prime is 38271169. The reversal of 38271168 is 86117283.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38271169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142138 + ... + 142406.

It is an arithmetic number, because the mean of its divisors is an integer number (742950).

Almost surely, 2^38271168 is an apocalyptic number.

38271168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62407800).

38271168 is an abundant number, since it is smaller than the sum of its proper divisors (86544432).

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

38271168 is a wasteful number, since it uses less digits than its factorization.

38271168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 38271168 is about 6186.3695330945. The cubic root of 38271168 is about 336.9953478447.

The spelling of 38271168 in words is "thirty-eight million, two hundred seventy-one thousand, one hundred sixty-eight".