38430427791168 has 336 divisors, whose sum is σ = 132705172679040. Its totient is φ = 10387367424000.

The previous prime is 38430427791121. The next prime is 38430427791169. The reversal of 38430427791168 is 86119772403483.

38430427791168 is a `hidden beast` number, since 3 + 8 + 43 + 0 + 427 + 7 + 9 + 1 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38430427791169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53344398 + ... + 54060018.

Almost surely, 2^{38430427791168} is an apocalyptic number.

38430427791168 is a gapful number since it is divisible by the number (38) 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 38430427791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66352586339520).

38430427791168 is an abundant number, since it is smaller than the sum of its proper divisors (94274744887872).

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

38430427791168 is a wasteful number, since it uses less digits than its factorization.

38430427791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716366 (or 716353 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 38430427791168 in words is "thirty-eight trillion, four hundred thirty billion, four hundred twenty-seven million, seven hundred ninety-one thousand, one hundred sixty-eight".