38512 has 20 divisors (see below), whose sum is σ = 78120. Its totient is φ = 18368.

The previous prime is 38501. The next prime is 38543. The reversal of 38512 is 21583.

It is a happy number.

It is an Ulam number.

Its product of digits (240) is a multiple of the sum of its prime factors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 38512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 423 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2³⁸⁵¹² 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 38512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

38512 is an abundant number, since it is smaller than the sum of its proper divisors (39608).

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

38512 is a wasteful number, since it uses less digits than its factorization.

38512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

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

The square root of 38512 is about 196.2447451526. The cubic root of 38512 is about 33.7700749338.

It can be divided in two parts, 3 and 8512, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 38512 in words is "thirty-eight thousand, five hundred twelve".