13874336 has 48 divisors (see below), whose sum is σ = 32586624. Its totient is φ = 5685504.

The previous prime is 13874327. The next prime is 13874339. The reversal of 13874336 is 63347831.

It is a happy number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 13874296 and 13874305.

It is not an unprimeable number, because it can be changed into a prime (13874339) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3806 + ... + 6498.

It is an arithmetic number, because the mean of its divisors is an integer number (678888).

Almost surely, 2^13874336 is an apocalyptic number.

13874336 is a gapful number since it is divisible by the number (16) 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 13874336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16293312).

13874336 is an abundant number, since it is smaller than the sum of its proper divisors (18712288).

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

13874336 is a wasteful number, since it uses less digits than its factorization.

13874336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2725 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 13874336 is about 3724.8269758473. The cubic root of 13874336 is about 240.2909434534.

It can be divided in two parts, 13874 and 336, that multiplied together give a palindrome (4661664).

The spelling of 13874336 in words is "thirteen million, eight hundred seventy-four thousand, three hundred thirty-six".