38950284960 has 144 divisors (see below), whose sum is σ = 132981272424. Its totient is φ = 10381787136.

The previous prime is 38950284937. The next prime is 38950285001. The reversal of 38950284960 is 6948205983.

38950284960 is a `hidden beast` number, since 3 + 89 + 50 + 28 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19133528976 + 19816755984 = 138324^2 + 140772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 38950284897 and 38950284906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3786384 + ... + 3796656.

Almost surely, 2^38950284960 is an apocalyptic number.

38950284960 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 38950284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66490636212).

38950284960 is an abundant number, since it is smaller than the sum of its proper divisors (94030987464).

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

38950284960 is a wasteful number, since it uses less digits than its factorization.

38950284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 38950284960 in words is "thirty-eight billion, nine hundred fifty million, two hundred eighty-four thousand, nine hundred sixty".