38476043424 has 864 divisors, whose sum is σ = 147992579280. Its totient is φ = 9419784192.

The previous prime is 38476043383. The next prime is 38476043477. The reversal of 38476043424 is 42434067483.

38476043424 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 604 + 34 + 2 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5143824 + 38470899600 = 2268^2 + 196140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38476043424.

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 143 ways as a sum of consecutive naturals, for example, 527069052 + ... + 527069124.

Almost surely, 2^38476043424 is an apocalyptic number.

38476043424 is a gapful number since it is divisible by the number (34) 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 38476043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73996289640).

38476043424 is an abundant number, since it is smaller than the sum of its proper divisors (109516535856).

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

38476043424 is a wasteful number, since it uses less digits than its factorization.

38476043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 38476043424 in words is "thirty-eight billion, four hundred seventy-six million, forty-three thousand, four hundred twenty-four".