38401375476728 has 128 divisors (see below), whose sum is σ = 80837538624000. Its totient is φ = 16953828587520.

The previous prime is 38401375476713. The next prime is 38401375476797. The reversal of 38401375476728 is 82767457310483.

It is a happy number.

It is a congruent number.

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, 631643900 + ... + 631704692.

It is an arithmetic number, because the mean of its divisors is an integer number (631543270500).

Almost surely, 2^{38401375476728} 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 38401375476728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40418769312000).

38401375476728 is an abundant number, since it is smaller than the sum of its proper divisors (42436163147272).

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

38401375476728 is a wasteful number, since it uses less digits than its factorization.

38401375476728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62325 (or 62321 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 65.

The spelling of 38401375476728 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, four hundred seventy-six thousand, seven hundred twenty-eight".