38005560 has 96 divisors (see below), whose sum is σ = 124385040. Its totient is φ = 10063872.

The previous prime is 38005559. The next prime is 38005603. The reversal of 38005560 is 6550083.

38005560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69207 + ... + 69753.

Almost surely, 2^38005560 is an apocalyptic number.

38005560 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 38005560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62192520).

38005560 is an abundant number, since it is smaller than the sum of its proper divisors (86379480).

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

38005560 is a wasteful number, since it uses less digits than its factorization.

38005560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 38005560 is about 6164.8649620247. The cubic root of 38005560 is about 336.2139368831.

The spelling of 38005560 in words is "thirty-eight million, five thousand, five hundred sixty".