38507168 has 48 divisors (see below), whose sum is σ = 87534720. Its totient is φ = 16333056.

The previous prime is 38507153. The next prime is 38507171. The reversal of 38507168 is 86170583.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22238 + ... + 23906.

It is an arithmetic number, because the mean of its divisors is an integer number (1823640).

Almost surely, 2^38507168 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 38507168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43767360).

38507168 is an abundant number, since it is smaller than the sum of its proper divisors (49027552).

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

38507168 is a wasteful number, since it uses less digits than its factorization.

38507168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 38507168 is about 6205.4144100132. The cubic root of 38507168 is about 337.6866252705.

The spelling of 38507168 in words is "thirty-eight million, five hundred seven thousand, one hundred sixty-eight".