38530560 has 160 divisors (see below), whose sum is σ = 128161440. Its totient is φ = 9863168.

The previous prime is 38530559. The next prime is 38530567. The reversal of 38530560 is 6503583.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38530567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222634 + ... + 222806.

It is an arithmetic number, because the mean of its divisors is an integer number (801009).

Almost surely, 2^38530560 is an apocalyptic number.

38530560 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 38530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64080720).

38530560 is an abundant number, since it is smaller than the sum of its proper divisors (89630880).

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

38530560 is a wasteful number, since it uses less digits than its factorization.

38530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 38530560 is about 6207.2989294862. The cubic root of 38530560 is about 337.7549897420.

The spelling of 38530560 in words is "thirty-eight million, five hundred thirty thousand, five hundred sixty".