38535168 has 114 divisors (see below), whose sum is σ = 119537436. Its totient is φ = 11010048.

The previous prime is 38535151. The next prime is 38535169. The reversal of 38535168 is 86153583.

Its product of digits (86400) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (38535169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5505021 + ... + 5505027.

It is an arithmetic number, because the mean of its divisors is an integer number (1048574).

Almost surely, 2^38535168 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 38535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59768718).

38535168 is an abundant number, since it is smaller than the sum of its proper divisors (81002268).

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

38535168 is an frugal number, since it uses more digits than its factorization.

38535168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 38535168 is about 6207.6700943269. The cubic root of 38535168 is about 337.7684536259.

It can be divided in two parts, 385 and 35168, that added together give a palindrome (35553).

The spelling of 38535168 in words is "thirty-eight million, five hundred thirty-five thousand, one hundred sixty-eight".