38558960 has 80 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 13681920.

The previous prime is 38558939. The next prime is 38558963. The reversal of 38558960 is 6985583.

38558960 = 59³ + 60³ + ... + 113³.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38558963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37331 + ... + 38349.

It is an arithmetic number, because the mean of its divisors is an integer number (1252152).

Almost surely, 2^38558960 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 38558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

38558960 is an abundant number, since it is smaller than the sum of its proper divisors (61613200).

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

38558960 is a wasteful number, since it uses less digits than its factorization.

38558960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 38558960 is about 6209.5861375779. The cubic root of 38558960 is about 337.8379532039.

The spelling of 38558960 in words is "thirty-eight million, five hundred fifty-eight thousand, nine hundred sixty".