38760080 has 40 divisors (see below), whose sum is σ = 91365432. Its totient is φ = 15289344.

The previous prime is 38760079. The next prime is 38760097. The reversal of 38760080 is 8006783.

38760080 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 4 ways, for example, as 21904 + 38738176 = 148^2 + 6224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 2522 + ... + 9158.

Almost surely, 2^38760080 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 38760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45682716).

38760080 is an abundant number, since it is smaller than the sum of its proper divisors (52605352).

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

38760080 is a wasteful number, since it uses less digits than its factorization.

38760080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 38760080 is about 6225.7593914317. The cubic root of 38760080 is about 338.4243121804.

The spelling of 38760080 in words is "thirty-eight million, seven hundred sixty thousand, eighty".