38782880 has 24 divisors (see below), whose sum is σ = 91624932. Its totient is φ = 15513088.

The previous prime is 38782873. The next prime is 38782897. The reversal of 38782880 is 8828783.

38782880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36336784 + 2446096 = 6028^2 + 1564^2 .

It is a super-2 number, since 2×38782880² = 3008223562188800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121037 + ... + 121356.

Almost surely, 2^38782880 is an apocalyptic number.

It is an amenable number.

38782880 is an abundant number, since it is smaller than the sum of its proper divisors (52842052).

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

38782880 is a wasteful number, since it uses less digits than its factorization.

38782880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242408 (or 242400 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 38782880 is about 6227.5902241557. The cubic root of 38782880 is about 338.4906567447.

The spelling of 38782880 in words is "thirty-eight million, seven hundred eighty-two thousand, eight hundred eighty".