38942722338624 has 1008 divisors, whose sum is σ = 127726266507840. Its totient is φ = 11323926282240.

The previous prime is 38942722338617. The next prime is 38942722338643. The reversal of 38942722338624 is 42683322724983.

38942722338624 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 2 + 7 + 223 + 386 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45334949907 + ... + 45334950765.

It is an arithmetic number, because the mean of its divisors is an integer number (126712565980).

Almost surely, 2^{38942722338624} 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 38942722338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63863133253920).

38942722338624 is an abundant number, since it is smaller than the sum of its proper divisors (88783544169216).

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

38942722338624 is a wasteful number, since it uses less digits than its factorization.

38942722338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1262 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 38942722338624 in words is "thirty-eight trillion, nine hundred forty-two billion, seven hundred twenty-two million, three hundred thirty-eight thousand, six hundred twenty-four".