13800384 has 168 divisors, whose sum is σ = 45303440. Its totient is φ = 3981312.

The previous prime is 13800373. The next prime is 13800389. The reversal of 13800384 is 48300831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142224 + ... + 142320.

Almost surely, 2^13800384 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 13800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651720).

13800384 is an abundant number, since it is smaller than the sum of its proper divisors (31503056).

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

13800384 is a wasteful number, since it uses less digits than its factorization.

13800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13800384 is about 3714.8868085044. The cubic root of 13800384 is about 239.8632554353.

The spelling of 13800384 in words is "thirteen million, eight hundred thousand, three hundred eighty-four".