38668400 has 30 divisors (see below), whose sum is σ = 92901792. Its totient is φ = 15467200.

The previous prime is 38668393. The next prime is 38668417. The reversal of 38668400 is 486683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47936 + ... + 48735.

Almost surely, 2^38668400 is an apocalyptic number.

It is an amenable number.

38668400 is an abundant number, since it is smaller than the sum of its proper divisors (54233392).

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

38668400 is a wasteful number, since it uses less digits than its factorization.

38668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96689 (or 96678 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 38668400 is about 6218.3920751268. The cubic root of 38668400 is about 338.1572742394.

It can be divided in two parts, 386 and 68400, that added together give a palindrome (68786).

The spelling of 38668400 in words is "thirty-eight million, six hundred sixty-eight thousand, four hundred".