13734280 has 64 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 4665600.

The previous prime is 13734223. The next prime is 13734307. The reversal of 13734280 is 8243731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50545 + ... + 50815.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^13734280 is an apocalyptic number.

13734280 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 13734280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

13734280 is an abundant number, since it is smaller than the sum of its proper divisors (21908600).

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

13734280 is a wasteful number, since it uses less digits than its factorization.

13734280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 13734280 is about 3705.9789529893. The cubic root of 13734280 is about 239.4796597106.

The spelling of 13734280 in words is "thirteen million, seven hundred thirty-four thousand, two hundred eighty".