38427169089312 has 432 divisors, whose sum is σ = 127505978832960. Its totient is φ = 10924499165184.

The previous prime is 38427169089311. The next prime is 38427169089377. The reversal of 38427169089312 is 21398096172483.

38427169089312 is a `hidden beast` number, since 3 + 8 + 427 + 16 + 90 + 89 + 31 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38427169089312.

It is not an unprimeable number, because it can be changed into a prime (38427169089311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35844138 + ... + 36900630.

It is an arithmetic number, because the mean of its divisors is an integer number (295152728780).

Almost surely, 2^{38427169089312} is an apocalyptic number.

38427169089312 is a gapful number since it is divisible by the number (32) 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 38427169089312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63752989416480).

38427169089312 is an abundant number, since it is smaller than the sum of its proper divisors (89078809743648).

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

38427169089312 is a wasteful number, since it uses less digits than its factorization.

38427169089312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056585 (or 1056557 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 38427169089312 in words is "thirty-eight trillion, four hundred twenty-seven billion, one hundred sixty-nine million, eighty-nine thousand, three hundred twelve".