13782384 has 180 divisors, whose sum is σ = 48882288. Its totient is φ = 3548160.

The previous prime is 13782371. The next prime is 13782397. The reversal of 13782384 is 48328731.

It is an interprime number because it is at equal distance from previous prime (13782371) and next prime (13782397).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121912 + ... + 122024.

Almost surely, 2^13782384 is an apocalyptic number.

13782384 is a gapful number since it is divisible by the number (14) 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 13782384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24441144).

13782384 is an abundant number, since it is smaller than the sum of its proper divisors (35099904).

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

13782384 is a wasteful number, since it uses less digits than its factorization.

13782384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13782384 is about 3712.4633331523. The cubic root of 13782384 is about 239.7589245921.

The spelling of 13782384 in words is "thirteen million, seven hundred eighty-two thousand, three hundred eighty-four".