38430422023752 has 384 divisors, whose sum is σ = 116962266470400. Its totient is φ = 11296982131200.

The previous prime is 38430422023751. The next prime is 38430422023783. The reversal of 38430422023752 is 25732022403483.

38430422023752 is a `hidden beast` number, since 3 + 8 + 4 + 30 + 42 + 202 + 375 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38430422023698 and 38430422023707.

It is not an unprimeable number, because it can be changed into a prime (38430422023751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19110104427 + ... + 19110106437.

It is an arithmetic number, because the mean of its divisors is an integer number (304589235600).

Almost surely, 2^{38430422023752} 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 38430422023752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58481133235200).

38430422023752 is an abundant number, since it is smaller than the sum of its proper divisors (78531844446648).

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

38430422023752 is a wasteful number, since it uses less digits than its factorization.

38430422023752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 38430422023752 in words is "thirty-eight trillion, four hundred thirty billion, four hundred twenty-two million, twenty-three thousand, seven hundred fifty-two".