38578560 has 128 divisors (see below), whose sum is σ = 125141760. Its totient is φ = 10106880.

The previous prime is 38578543. The next prime is 38578571. The reversal of 38578560 is 6587583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136179 + ... + 136461.

It is an arithmetic number, because the mean of its divisors is an integer number (977670).

Almost surely, 2^38578560 is an apocalyptic number.

38578560 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 38578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62570880).

38578560 is an abundant number, since it is smaller than the sum of its proper divisors (86563200).

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

38578560 is a wasteful number, since it uses less digits than its factorization.

38578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 38578560 is about 6211.1641420912. The cubic root of 38578560 is about 337.8951859218.

The spelling of 38578560 in words is "thirty-eight million, five hundred seventy-eight thousand, five hundred sixty".