38343168 has 120 divisors (see below), whose sum is σ = 113467068. Its totient is φ = 12460032.

The previous prime is 38343157. The next prime is 38343181. The reversal of 38343168 is 86134383.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 2304 = 6192^2 + 48^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is a zygodrome in base 3 and base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244146 + ... + 244302.

Almost surely, 2^38343168 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 38343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56733534).

38343168 is an abundant number, since it is smaller than the sum of its proper divisors (75123900).

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

38343168 is a wasteful number, since it uses less digits than its factorization.

38343168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38343168 is about 6192.1860437167. The cubic root of 38343168 is about 337.2065465647.

It can be divided in two parts, 38 and 343168, that added together give a triangular number (343206 = T₈₂₈).

The spelling of 38343168 in words is "thirty-eight million, three hundred forty-three thousand, one hundred sixty-eight".