38705688 has 240 divisors, whose sum is σ = 134077680. Its totient is φ = 10378368.

The previous prime is 38705683. The next prime is 38705713. The reversal of 38705688 is 88650783.

38705688 is a `hidden beast` number, since 3 + 87 + 0 + 568 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38705683) 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 59 ways as a sum of consecutive naturals, for example, 730270 + ... + 730322.

It is an arithmetic number, because the mean of its divisors is an integer number (558657).

Almost surely, 2^38705688 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 38705688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67038840).

38705688 is an abundant number, since it is smaller than the sum of its proper divisors (95371992).

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

38705688 is a wasteful number, since it uses less digits than its factorization.

38705688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 38705688 is about 6221.3895553968. The cubic root of 38705688 is about 338.2659345201.

It can be divided in two parts, 38705 and 688, that added together give a palindrome (39393).

The spelling of 38705688 in words is "thirty-eight million, seven hundred five thousand, six hundred eighty-eight".