13638334380 has 192 divisors, whose sum is σ = 43575211008. Its totient is φ = 3154877440.

The previous prime is 13638334379. The next prime is 13638334399. The reversal of 13638334380 is 8343383631.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8454454 + ... + 8456066.

It is an arithmetic number, because the mean of its divisors is an integer number (226954224).

Almost surely, 2^13638334380 is an apocalyptic number.

13638334380 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 13638334380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21787605504).

13638334380 is an abundant number, since it is smaller than the sum of its proper divisors (29936876628).

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

13638334380 is a wasteful number, since it uses less digits than its factorization.

13638334380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 13638334380 in words is "thirteen billion, six hundred thirty-eight million, three hundred thirty-four thousand, three hundred eighty".