38585440 has 48 divisors (see below), whose sum is σ = 91551600. Its totient is φ = 15367680.

The previous prime is 38585411. The next prime is 38585441. The reversal of 38585440 is 4458583.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38585440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38585441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55495 + ... + 56185.

It is an arithmetic number, because the mean of its divisors is an integer number (1907325).

Almost surely, 2^38585440 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 38585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45775800).

38585440 is an abundant number, since it is smaller than the sum of its proper divisors (52966160).

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

38585440 is a wasteful number, since it uses less digits than its factorization.

38585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 38585440 is about 6211.7179588259. The cubic root of 38585440 is about 337.9152711773.

The spelling of 38585440 in words is "thirty-eight million, five hundred eighty-five thousand, four hundred forty".