38527632 has 120 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 10771200.

The previous prime is 38527607. The next prime is 38527633. The reversal of 38527632 is 23672583.

38527632 is a `hidden beast` number, since 385 + 276 + 3 + 2 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38527633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19657 + ... + 21527.

Almost surely, 2^38527632 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 38527632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

38527632 is an abundant number, since it is smaller than the sum of its proper divisors (88214256).

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

38527632 is a wasteful number, since it uses less digits than its factorization.

38527632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1900 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 38527632 is about 6207.0630736283. The cubic root of 38527632 is about 337.7464340081.

The spelling of 38527632 in words is "thirty-eight million, five hundred twenty-seven thousand, six hundred thirty-two".