38106880 has 72 divisors (see below), whose sum is σ = 104342112. Its totient is φ = 13062144.

The previous prime is 38106869. The next prime is 38106881. The reversal of 38106880 is 8860183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38106881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6834 + ... + 11086.

It is an arithmetic number, because the mean of its divisors is an integer number (1449196).

Almost surely, 2^38106880 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 38106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52171056).

38106880 is an abundant number, since it is smaller than the sum of its proper divisors (66235232).

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

38106880 is an equidigital number, since it uses as much as digits as its factorization.

38106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 38106880 is about 6173.0770285167. The cubic root of 38106880 is about 336.5124455669.

The spelling of 38106880 in words is "thirty-eight million, one hundred six thousand, eight hundred eighty".