13734432 has 72 divisors (see below), whose sum is σ = 39521664. Its totient is φ = 4523904.

The previous prime is 13734421. The next prime is 13734443. The reversal of 13734432 is 23443731.

It is an interprime number because it is at equal distance from previous prime (13734421) and next prime (13734443).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 13734396 and 13734405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29433 + ... + 29895.

It is an arithmetic number, because the mean of its divisors is an integer number (548912).

Almost surely, 2^13734432 is an apocalyptic number.

13734432 is a gapful number since it is divisible by the number (12) 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 13734432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760832).

13734432 is an abundant number, since it is smaller than the sum of its proper divisors (25787232).

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

13734432 is a wasteful number, since it uses less digits than its factorization.

13734432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 571 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 13734432 is about 3705.9994603346. Note that the first 3 decimals coincide. The cubic root of 13734432 is about 239.4805431636.

The spelling of 13734432 in words is "thirteen million, seven hundred thirty-four thousand, four hundred thirty-two".