38824632 has 192 divisors, whose sum is σ = 134784000. Its totient is φ = 9803520.

The previous prime is 38824607. The next prime is 38824637. The reversal of 38824632 is 23642883.

38824632 is a `hidden beast` number, since 388 + 246 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38824637) 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 47 ways as a sum of consecutive naturals, for example, 260494 + ... + 260642.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 2^38824632 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 38824632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392000).

38824632 is an abundant number, since it is smaller than the sum of its proper divisors (95959368).

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

38824632 is a wasteful number, since it uses less digits than its factorization.

38824632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38824632 is about 6230.9415018920. The cubic root of 38824632 is about 338.6120813990.

The spelling of 38824632 in words is "thirty-eight million, eight hundred twenty-four thousand, six hundred thirty-two".