38165680 has 160 divisors (see below), whose sum is σ = 113564160. Its totient is φ = 11612160.

The previous prime is 38165627. The next prime is 38165689. The reversal of 38165680 is 8656183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38165689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180775 + ... + 180985.

It is an arithmetic number, because the mean of its divisors is an integer number (709776).

Almost surely, 2^38165680 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 38165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56782080).

38165680 is an abundant number, since it is smaller than the sum of its proper divisors (75398480).

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

38165680 is a wasteful number, since it uses less digits than its factorization.

38165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 38165680 is about 6177.8378094605. The cubic root of 38165680 is about 336.6854393784.

The spelling of 38165680 in words is "thirty-eight million, one hundred sixty-five thousand, six hundred eighty".