38401352766348 has 192 divisors, whose sum is σ = 106365572651520. Its totient is φ = 10718608707840.

The previous prime is 38401352766313. The next prime is 38401352766349. The reversal of 38401352766348 is 84366725310483.

It is a happy number.

38401352766348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38401352766291 and 38401352766300.

It is not an unprimeable number, because it can be changed into a prime (38401352766349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96767998 + ... + 97164026.

It is an arithmetic number, because the mean of its divisors is an integer number (553987357560).

Almost surely, 2^{38401352766348} 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 38401352766348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53182786325760).

38401352766348 is an abundant number, since it is smaller than the sum of its proper divisors (67964219885172).

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

38401352766348 is a wasteful number, since it uses less digits than its factorization.

38401352766348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396549 (or 396525 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 38401352766348 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-six thousand, three hundred forty-eight".