13734684432 has 320 divisors, whose sum is σ = 49068288000. Its totient is φ = 3589028352.

The previous prime is 13734684409. The next prime is 13734684437. The reversal of 13734684432 is 23448643731.

13734684432 is a `hidden beast` number, since 137 + 3 + 4 + 6 + 84 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13734684437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1662103 + ... + 1670345.

It is an arithmetic number, because the mean of its divisors is an integer number (153338400).

Almost surely, 2^13734684432 is an apocalyptic number.

13734684432 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 13734684432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24534144000).

13734684432 is an abundant number, since it is smaller than the sum of its proper divisors (35333603568).

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

13734684432 is a wasteful number, since it uses less digits than its factorization.

13734684432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8303 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 13734684432 in words is "thirteen billion, seven hundred thirty-four million, six hundred eighty-four thousand, four hundred thirty-two".