38427128044340 has 192 divisors, whose sum is σ = 99061521398784. Its totient is φ = 12236938002432.

The previous prime is 38427128044141. The next prime is 38427128044373. The reversal of 38427128044340 is 4344082172483.

It is a super-3 number, since 3×38427128044340³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15393362 + ... + 17714678.

It is an arithmetic number, because the mean of its divisors is an integer number (515945423952).

Almost surely, 2^{38427128044340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38427128044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49530760699392).

38427128044340 is an abundant number, since it is smaller than the sum of its proper divisors (60634393354444).

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

38427128044340 is a wasteful number, since it uses less digits than its factorization.

38427128044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321506 (or 2321504 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 50.

The spelling of 38427128044340 in words is "thirty-eight trillion, four hundred twenty-seven billion, one hundred twenty-eight million, forty-four thousand, three hundred forty".