38716537816320 has 3456 divisors, whose sum is σ = 170023543603200. Its totient is φ = 7301266145280.

The previous prime is 38716537816223. The next prime is 38716537816357. The reversal of 38716537816320 is 2361873561783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 259842535606 + ... + 259842535754.

It is an arithmetic number, because the mean of its divisors is an integer number (49196627200).

Almost surely, 2^{38716537816320} is an apocalyptic number.

38716537816320 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 38716537816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85011771801600).

38716537816320 is an abundant number, since it is smaller than the sum of its proper divisors (131307005786880).

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

38716537816320 is a wasteful number, since it uses less digits than its factorization.

38716537816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 38716537816320 in words is "thirty-eight trillion, seven hundred sixteen billion, five hundred thirty-seven million, eight hundred sixteen thousand, three hundred twenty".