38109760 has 56 divisors (see below), whose sum is σ = 97740216. Its totient is φ = 14069760.

The previous prime is 38109749. The next prime is 38109761. The reversal of 38109760 is 6790183.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 38044224 = 256^2 + 6168^2 .

It is not an unprimeable number, because it can be changed into a prime (38109761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 421 + ... + 8740.

It is an arithmetic number, because the mean of its divisors is an integer number (1745361).

Almost surely, 2^38109760 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 38109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48870108).

38109760 is an abundant number, since it is smaller than the sum of its proper divisors (59630456).

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

38109760 is a wasteful number, since it uses less digits than its factorization.

38109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 38109760 is about 6173.3102951334. The cubic root of 38109760 is about 336.5209228763.

The spelling of 38109760 in words is "thirty-eight million, one hundred nine thousand, seven hundred sixty".