13434066360 has 384 divisors, whose sum is σ = 52174886400. Its totient is φ = 2954603520.

The previous prime is 13434066307. The next prime is 13434066421. The reversal of 13434066360 is 6366043431.

13434066360 is a `hidden beast` number, since 13 + 4 + 3 + 4 + 0 + 6 + 636 + 0 = 666.

13434066360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3035109 + ... + 3039531.

It is an arithmetic number, because the mean of its divisors is an integer number (135872100).

Almost surely, 2^13434066360 is an apocalyptic number.

13434066360 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 13434066360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26087443200).

13434066360 is an abundant number, since it is smaller than the sum of its proper divisors (38740820040).

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

13434066360 is a wasteful number, since it uses less digits than its factorization.

13434066360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 13434066360 in words is "thirteen billion, four hundred thirty-four million, sixty-six thousand, three hundred sixty".