38668600 has 96 divisors (see below), whose sum is σ = 95418000. Its totient is φ = 14551040.

The previous prime is 38668577. The next prime is 38668603. The reversal of 38668600 is 686683.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38668600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38668603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342144 + ... + 342256.

Almost surely, 2^38668600 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 38668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47709000).

38668600 is an abundant number, since it is smaller than the sum of its proper divisors (56749400).

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

38668600 is a wasteful number, since it uses less digits than its factorization.

38668600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 38668600 is about 6218.4081564336. The cubic root of 38668600 is about 338.1578572421.

It can be divided in two parts, 386 and 68600, that added together give a palindrome (68986).

The spelling of 38668600 in words is "thirty-eight million, six hundred sixty-eight thousand, six hundred".