38559040 has 168 divisors, whose sum is σ = 107094528. Its totient is φ = 13178880.

The previous prime is 38559023. The next prime is 38559047. The reversal of 38559040 is 4095583.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38558987 and 38559005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38559047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243825 + ... + 1243855.

Almost surely, 2^38559040 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 38559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53547264).

38559040 is an abundant number, since it is smaller than the sum of its proper divisors (68535488).

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

38559040 is a wasteful number, since it uses less digits than its factorization.

38559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 38559040 is about 6209.5925792277. The cubic root of 38559040 is about 337.8381868462.

The spelling of 38559040 in words is "thirty-eight million, five hundred fifty-nine thousand, forty".