13875384 has 64 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 4417280.

The previous prime is 13875361. The next prime is 13875391. The reversal of 13875384 is 48357831.

It is a super-2 number, since 2×13875384² = 385052562294912, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 57937 + ... + 58175.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^13875384 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 13875384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13875384 is an abundant number, since it is smaller than the sum of its proper divisors (22412616).

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

13875384 is a wasteful number, since it uses less digits than its factorization.

13875384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 13875384 is about 3724.9676508662. The cubic root of 13875384 is about 240.2969934383.

The spelling of 13875384 in words is "thirteen million, eight hundred seventy-five thousand, three hundred eighty-four".