38000160 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 9208320.

The previous prime is 38000143. The next prime is 38000161. The reversal of 38000160 is 6100083.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (38000161) 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, 14641 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^38000160 is an apocalyptic number.

38000160 is a gapful number since it is divisible by the number (30) 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 38000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

38000160 is an abundant number, since it is smaller than the sum of its proper divisors (103523040).

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

38000160 is a wasteful number, since it uses less digits than its factorization.

38000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 38000160 is about 6164.4269806690. The cubic root of 38000160 is about 336.1980125354.

The spelling of 38000160 in words is "thirty-eight million, one hundred sixty", and thus it is an aban number.