38100160 has 112 divisors (see below), whose sum is σ = 105558336. Its totient is φ = 12828672.

The previous prime is 38100157. The next prime is 38100197. The reversal of 38100160 is 6100183.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163404 + ... + 163636.

Almost surely, 2^38100160 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 38100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52779168).

38100160 is an abundant number, since it is smaller than the sum of its proper divisors (67458176).

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

38100160 is a wasteful number, since it uses less digits than its factorization.

38100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 38100160 is about 6172.5327054622. The cubic root of 38100160 is about 336.4926635173.

The spelling of 38100160 in words is "thirty-eight million, one hundred thousand, one hundred sixty".