38500560 has 120 divisors (see below), whose sum is σ = 147788160. Its totient is φ = 8798976.

The previous prime is 38500559. The next prime is 38500589. The reversal of 38500560 is 6500583.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221 + ... + 8859.

It is an arithmetic number, because the mean of its divisors is an integer number (1231568).

Almost surely, 2^38500560 is an apocalyptic number.

38500560 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 38500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73894080).

38500560 is an abundant number, since it is smaller than the sum of its proper divisors (109287600).

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

38500560 is a wasteful number, since it uses less digits than its factorization.

38500560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7656 counting only the distinct ones).

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

The square root of 38500560 is about 6204.8819489173. The cubic root of 38500560 is about 337.6673079936.

It can be divided in two parts, 38500 and 560, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 38500560 in words is "thirty-eight million, five hundred thousand, five hundred sixty".