38112000 has 144 divisors (see below), whose sum is σ = 126907872. Its totient is φ = 10137600.

The previous prime is 38111999. The next prime is 38112013. The reversal of 38112000 is 21183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95802 + ... + 96198.

Almost surely, 2^38112000 is an apocalyptic number.

38112000 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 38112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63453936).

38112000 is an abundant number, since it is smaller than the sum of its proper divisors (88795872).

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

38112000 is an equidigital number, since it uses as much as digits as its factorization.

38112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 38112000 is about 6173.4917186306. The cubic root of 38112000 is about 336.5275160438.

Adding to 38112000 its reverse (21183), we get a palindrome (38133183).

The spelling of 38112000 in words is "thirty-eight million, one hundred twelve thousand".