38858160 has 160 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 9164800.

The previous prime is 38858153. The next prime is 38858203. The reversal of 38858160 is 6185883.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108061 + ... + 108419.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^38858160 is an apocalyptic number.

38858160 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 38858160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

38858160 is an abundant number, since it is smaller than the sum of its proper divisors (96133200).

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

38858160 is a wasteful number, since it uses less digits than its factorization.

38858160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 38858160 is about 6233.6313654242. The cubic root of 38858160 is about 338.7095257171.

The spelling of 38858160 in words is "thirty-eight million, eight hundred fifty-eight thousand, one hundred sixty".