13740384 has 144 divisors (see below), whose sum is σ = 44126208. Its totient is φ = 3725568.

The previous prime is 13740383. The next prime is 13740413. The reversal of 13740384 is 48304731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740383) 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, 108129 + ... + 108255.

It is an arithmetic number, because the mean of its divisors is an integer number (306432).

Almost surely, 2^13740384 is an apocalyptic number.

13740384 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 13740384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063104).

13740384 is an abundant number, since it is smaller than the sum of its proper divisors (30385824).

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

13740384 is a wasteful number, since it uses less digits than its factorization.

13740384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 13740384 is about 3706.8023955965. The cubic root of 13740384 is about 239.5151322009.

The spelling of 13740384 in words is "thirteen million, seven hundred forty thousand, three hundred eighty-four".