38660832 has 144 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 10886400.

The previous prime is 38660773. The next prime is 38660833. The reversal of 38660832 is 23806683.

38660832 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38660833) 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 23 ways as a sum of consecutive naturals, for example, 255957 + ... + 256107.

It is an arithmetic number, because the mean of its divisors is an integer number (885248).

Almost surely, 2^38660832 is an apocalyptic number.

38660832 is a gapful number since it is divisible by the number (32) 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 38660832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

38660832 is an abundant number, since it is smaller than the sum of its proper divisors (88814880).

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

38660832 is a wasteful number, since it uses less digits than its factorization.

38660832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38660832 is about 6217.7835279141. The cubic root of 38660832 is about 338.1352119420.

The spelling of 38660832 in words is "thirty-eight million, six hundred sixty thousand, eight hundred thirty-two".