38578129920 has 1056 divisors, whose sum is σ = 159885700416. Its totient is φ = 8564244480.

The previous prime is 38578129913. The next prime is 38578129939. The reversal of 38578129920 is 2992187583.

38578129920 is a `hidden beast` number, since 38 + 578 + 12 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1042652142 + ... + 1042652178.

Almost surely, 2^38578129920 is an apocalyptic number.

38578129920 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 38578129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79942850208).

38578129920 is an abundant number, since it is smaller than the sum of its proper divisors (121307570496).

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

38578129920 is a wasteful number, since it uses less digits than its factorization.

38578129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 38578129920 in words is "thirty-eight billion, five hundred seventy-eight million, one hundred twenty-nine thousand, nine hundred twenty".