13964384 has 48 divisors (see below), whose sum is σ = 32449536. Its totient is φ = 5788800.

The previous prime is 13964371. The next prime is 13964393. The reversal of 13964384 is 48346931.

It is a super-3 number, since 3×13964384³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5939 + ... + 7949.

It is an arithmetic number, because the mean of its divisors is an integer number (676032).

Almost surely, 2^13964384 is an apocalyptic number.

13964384 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 13964384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224768).

13964384 is an abundant number, since it is smaller than the sum of its proper divisors (18485152).

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

13964384 is a wasteful number, since it uses less digits than its factorization.

13964384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2051 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 13964384 is about 3736.8949677506. The cubic root of 13964384 is about 240.8096727939.

The spelling of 13964384 in words is "thirteen million, nine hundred sixty-four thousand, three hundred eighty-four".