38512000 has 128 divisors (see below), whose sum is σ = 100245600. Its totient is φ = 14694400.

The previous prime is 38511983. The next prime is 38512003. The reversal of 38512000 is 21583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38512003) 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, 463959 + ... + 464041.

Almost surely, 2^38512000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

38512000 is an abundant number, since it is smaller than the sum of its proper divisors (61733600).

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

38512000 is an equidigital number, since it uses as much as digits as its factorization.

38512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 38512000 is about 6205.8037352143. The cubic root of 38512000 is about 337.7007493380.

Adding to 38512000 its reverse (21583), we get a palindrome (38533583).

The spelling of 38512000 in words is "thirty-eight million, five hundred twelve thousand".