38242369807920 has 960 divisors, whose sum is σ = 142429717248000. Its totient is φ = 9508185243648.

The previous prime is 38242369807891. The next prime is 38242369807921. The reversal of 38242369807920 is 2970896324283.

38242369807920 is a `hidden beast` number, since 3 + 8 + 2 + 423 + 69 + 80 + 79 + 2 + 0 = 666.

It is a super-2 number, since 2×38242369807920² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38242369807921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9833469336 + ... + 9833473224.

It is an arithmetic number, because the mean of its divisors is an integer number (148364288800).

Almost surely, 2^{38242369807920} is an apocalyptic number.

38242369807920 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 38242369807920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71214858624000).

38242369807920 is an abundant number, since it is smaller than the sum of its proper divisors (104187347440080).

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

38242369807920 is a wasteful number, since it uses less digits than its factorization.

38242369807920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 38242369807920 in words is "thirty-eight trillion, two hundred forty-two billion, three hundred sixty-nine million, eight hundred seven thousand, nine hundred twenty".