27438274344 has 128 divisors (see below), whose sum is σ = 76395110400. Its totient is φ = 8155226880.

The previous prime is 27438274333. The next prime is 27438274379. The reversal of 27438274344 is 44347283472.

It is a junction number, because it is equal to n+sod(n) for n = 27438274293 and 27438274302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5984677 + ... + 5989259.

It is an arithmetic number, because the mean of its divisors is an integer number (596836800).

Almost surely, 2^27438274344 is an apocalyptic number.

27438274344 is a gapful number since it is divisible by the number (24) 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 27438274344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38197555200).

27438274344 is an abundant number, since it is smaller than the sum of its proper divisors (48956836056).

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

27438274344 is a wasteful number, since it uses less digits than its factorization.

27438274344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5251 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

The spelling of 27438274344 in words is "twenty-seven billion, four hundred thirty-eight million, two hundred seventy-four thousand, three hundred forty-four".