38730880 has 64 divisors (see below), whose sum is σ = 93972600. Its totient is φ = 15261696.

The previous prime is 38730877. The next prime is 38730893. The reversal of 38730880 is 8803783.

It can be written as a sum of positive squares in 4 ways, for example, as 33085504 + 5645376 = 5752^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 46306 + ... + 47134.

Almost surely, 2^38730880 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 38730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46986300).

38730880 is an abundant number, since it is smaller than the sum of its proper divisors (55241720).

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

38730880 is an equidigital number, since it uses as much as digits as its factorization.

38730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 38730880 is about 6223.4138541479. The cubic root of 38730880 is about 338.3393065724.

The spelling of 38730880 in words is "thirty-eight million, seven hundred thirty thousand, eight hundred eighty".