38393845329060 has 864 divisors, whose sum is σ = 133647886794240. Its totient is φ = 8906574163968.

The previous prime is 38393845328903. The next prime is 38393845329067. The reversal of 38393845329060 is 6092354839383.

38393845329060 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 3 + 8 + 4 + 532 + 90 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (38393845329067) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4712631907 + ... + 4712640053.

It is an arithmetic number, because the mean of its divisors is an integer number (154685054160).

Almost surely, 2^{38393845329060} is an apocalyptic number.

38393845329060 is a gapful number since it is divisible by the number (30) 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 38393845329060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66823943397120).

38393845329060 is an abundant number, since it is smaller than the sum of its proper divisors (95254041465180).

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

38393845329060 is a wasteful number, since it uses less digits than its factorization.

38393845329060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 38393845329060 in words is "thirty-eight trillion, three hundred ninety-three billion, eight hundred forty-five million, three hundred twenty-nine thousand, sixty".