38664000 has 224 divisors, whose sum is σ = 142646400. Its totient is φ = 10252800.

The previous prime is 38663983. The next prime is 38664011. The reversal of 38664000 is 46683.

38664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215911 + ... + 216089.

Almost surely, 2^38664000 is an apocalyptic number.

38664000 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 38664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323200).

38664000 is an abundant number, since it is smaller than the sum of its proper divisors (103982400).

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

38664000 is a wasteful number, since it uses less digits than its factorization.

38664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38664000 is about 6218.0382758552. The cubic root of 38664000 is about 338.1444476727.

The spelling of 38664000 in words is "thirty-eight million, six hundred sixty-four thousand".