38266880 has 96 divisors (see below), whose sum is σ = 95233320. Its totient is φ = 14745600.

The previous prime is 38266853. The next prime is 38266897. The reversal of 38266880 is 8866283.

It can be written as a sum of positive squares in 4 ways, for example, as 38142976 + 123904 = 6176^2 + 352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378830 + ... + 378930.

Almost surely, 2^38266880 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 38266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616660).

38266880 is an abundant number, since it is smaller than the sum of its proper divisors (56966440).

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

38266880 is a wasteful number, since it uses less digits than its factorization.

38266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 38266880 is about 6186.0229550172. The cubic root of 38266880 is about 336.9827614330.

The spelling of 38266880 in words is "thirty-eight million, two hundred sixty-six thousand, eight hundred eighty".