38260224576 has 168 divisors, whose sum is σ = 127204134720. Its totient is φ = 10768260096.

The previous prime is 38260224559. The next prime is 38260224577. The reversal of 38260224576 is 67542206283.

38260224576 is a `hidden beast` number, since 38 + 2 + 602 + 2 + 4 + 5 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (38260224577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199330 + ... + 340958.

Almost surely, 2^38260224576 is an apocalyptic number.

38260224576 is a gapful number since it is divisible by the number (36) 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 38260224576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63602067360).

38260224576 is an abundant number, since it is smaller than the sum of its proper divisors (88943910144).

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

38260224576 is a wasteful number, since it uses less digits than its factorization.

38260224576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141721 (or 141708 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38260224576 in words is "thirty-eight billion, two hundred sixty million, two hundred twenty-four thousand, five hundred seventy-six".