38580480 has 216 divisors, whose sum is σ = 142053912. Its totient is φ = 9633792.

The previous prime is 38580473. The next prime is 38580481. The reversal of 38580480 is 8408583.

38580480 is a `hidden beast` number, since 38 + 580 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 19079424 = 4416^2 + 4368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38580481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195742 + ... + 195938.

It is an arithmetic number, because the mean of its divisors is an integer number (657657).

Almost surely, 2^38580480 is an apocalyptic number.

38580480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71026956).

38580480 is an abundant number, since it is smaller than the sum of its proper divisors (103473432).

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

38580480 is a wasteful number, since it uses less digits than its factorization.

38580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38580480 is about 6211.3187005659. The cubic root of 38580480 is about 337.9007913496.

It can be divided in two parts, 38580 and 480, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 38580480 in words is "thirty-eight million, five hundred eighty thousand, four hundred eighty".