38208000 has 160 divisors (see below), whose sum is σ = 127670400. Its totient is φ = 10137600.

The previous prime is 38207989. The next prime is 38208007. The reversal of 38208000 is 80283.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×38208000³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38208007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191901 + ... + 192099.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 2^38208000 is an apocalyptic number.

38208000 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 38208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835200).

38208000 is an abundant number, since it is smaller than the sum of its proper divisors (89462400).

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

38208000 is an equidigital number, since it uses as much as digits as its factorization.

38208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38208000 is about 6181.2620070662. The cubic root of 38208000 is about 336.8098379179.

Adding to 38208000 its reverse (80283), we get a palindrome (38288283).

The spelling of 38208000 in words is "thirty-eight million, two hundred eight thousand".