13734400 has 120 divisors (see below), whose sum is σ = 36152820. Its totient is φ = 5160960.

The previous prime is 13734389. The next prime is 13734407. The reversal of 13734400 is 443731.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8202496 + 5531904 = 2864^2 + 2352^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (13734407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371182 + ... + 371218.

Almost surely, 2^13734400 is an apocalyptic number.

13734400 is a gapful number since it is divisible by the number (10) 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 13734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18076410).

13734400 is an abundant number, since it is smaller than the sum of its proper divisors (22418420).

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

13734400 is an equidigital number, since it uses as much as digits as its factorization.

13734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 13734400 is about 3705.9951430082. The cubic root of 13734400 is about 239.4803571741.

The spelling of 13734400 in words is "thirteen million, seven hundred thirty-four thousand, four hundred".