38576160 has 288 divisors, whose sum is σ = 155675520. Its totient is φ = 8515584.

The previous prime is 38576113. The next prime is 38576171. The reversal of 38576160 is 6167583.

38576160 is a `hidden beast` number, since 38 + 5 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433396 + ... + 433484.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^38576160 is an apocalyptic number.

38576160 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 38576160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

38576160 is an abundant number, since it is smaller than the sum of its proper divisors (117099360).

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

38576160 is a wasteful number, since it uses less digits than its factorization.

38576160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38576160 is about 6210.9709385892. The cubic root of 38576160 is about 337.8881788756. Note that the first 3 decimals are identical.

The spelling of 38576160 in words is "thirty-eight million, five hundred seventy-six thousand, one hundred sixty".