38743391752992 has 240 divisors, whose sum is σ = 114476224151520. Its totient is φ = 12907230861312.

The previous prime is 38743391752951. The next prime is 38743391752997. The reversal of 38743391752992 is 29925719334783.

38743391752992 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 3 + 3 + 9 + 1 + 7 + 529 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38743391752992.

It is not an unprimeable number, because it can be changed into a prime (38743391752997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1189781703 + ... + 1189814265.

It is an arithmetic number, because the mean of its divisors is an integer number (476984267298).

Almost surely, 2^{38743391752992} is an apocalyptic number.

38743391752992 is a gapful number since it is divisible by the number (32) 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 38743391752992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57238112075760).

38743391752992 is an abundant number, since it is smaller than the sum of its proper divisors (75732832398528).

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

38743391752992 is an frugal number, since it uses more digits than its factorization.

38743391752992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34489 (or 34457 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 38743391752992 in words is "thirty-eight trillion, seven hundred forty-three billion, three hundred ninety-one million, seven hundred fifty-two thousand, nine hundred ninety-two".