38531760 has 80 divisors (see below), whose sum is σ = 123325440. Its totient is φ = 9941760.

The previous prime is 38531747. The next prime is 38531761. The reversal of 38531760 is 6713583.

It is a happy number.

38531760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (38531761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4851 + ... + 10029.

It is an arithmetic number, because the mean of its divisors is an integer number (1541568).

Almost surely, 2^38531760 is an apocalyptic number.

38531760 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 38531760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61662720).

38531760 is an abundant number, since it is smaller than the sum of its proper divisors (84793680).

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

38531760 is a wasteful number, since it uses less digits than its factorization.

38531760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 38531760 is about 6207.3955891340. The cubic root of 38531760 is about 337.7584960651.

The spelling of 38531760 in words is "thirty-eight million, five hundred thirty-one thousand, seven hundred sixty".