38037168 has 120 divisors (see below), whose sum is σ = 118452240. Its totient is φ = 11681280.

The previous prime is 38037163. The next prime is 38037187. The reversal of 38037168 is 86173083.

It is a super-2 number, since 2×38037168² = 2893652298920448, which contains 22 as substring.

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 (38037163) 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, 72748 + ... + 73268.

It is an arithmetic number, because the mean of its divisors is an integer number (987102).

Almost surely, 2^38037168 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 38037168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59226120).

38037168 is an abundant number, since it is smaller than the sum of its proper divisors (80415072).

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

38037168 is a wasteful number, since it uses less digits than its factorization.

38037168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38037168 is about 6167.4279890405. The cubic root of 38037168 is about 336.3071171565.

The spelling of 38037168 in words is "thirty-eight million, thirty-seven thousand, one hundred sixty-eight".