38688000 has 288 divisors, whose sum is σ = 142851072. Its totient is φ = 9216000.

The previous prime is 38687993. The next prime is 38688007. The reversal of 38688000 is 88683.

It is an interprime number because it is at equal distance from previous prime (38687993) and next prime (38688007).

It is a super-2 number, since 2×38688000² = 2993522688000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38688007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247985 + ... + 1248015.

Almost surely, 2^38688000 is an apocalyptic number.

38688000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71425536).

38688000 is an abundant number, since it is smaller than the sum of its proper divisors (104163072).

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

38688000 is a wasteful number, since it uses less digits than its factorization.

38688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 38688000 is about 6219.9678455761. The cubic root of 38688000 is about 338.2143989464.

The spelling of 38688000 in words is "thirty-eight million, six hundred eighty-eight thousand".