38368922122960 has 640 divisors, whose sum is σ = 111189683404800. Its totient is φ = 12105325117440.

The previous prime is 38368922122877. The next prime is 38368922123003. The reversal of 38368922122960 is 6922122986383.

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 127 ways as a sum of consecutive naturals, for example, 23072111089 + ... + 23072112751.

It is an arithmetic number, because the mean of its divisors is an integer number (173733880320).

Almost surely, 2^{38368922122960} 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 38368922122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55594841702400).

38368922122960 is an abundant number, since it is smaller than the sum of its proper divisors (72820761281840).

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

38368922122960 is a wasteful number, since it uses less digits than its factorization.

38368922122960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 38368922122960 in words is "thirty-eight trillion, three hundred sixty-eight billion, nine hundred twenty-two million, one hundred twenty-two thousand, nine hundred sixty".