38508560 has 40 divisors (see below), whose sum is σ = 90202560. Its totient is φ = 15288192.

The previous prime is 38508539. The next prime is 38508563. The reversal of 38508560 is 6580583.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38508560.

It is not an unprimeable number, because it can be changed into a prime (38508563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9389 + ... + 12851.

It is an arithmetic number, because the mean of its divisors is an integer number (2255064).

Almost surely, 2^38508560 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 38508560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45101280).

38508560 is an abundant number, since it is smaller than the sum of its proper divisors (51694000).

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

38508560 is a wasteful number, since it uses less digits than its factorization.

38508560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 38508560 is about 6205.5265691156. The cubic root of 38508560 is about 337.6906942455.

The spelling of 38508560 in words is "thirty-eight million, five hundred eight thousand, five hundred sixty".