38829834276480 has 640 divisors, whose sum is σ = 149427743184720. Its totient is φ = 9552186703872.

The previous prime is 38829834276461. The next prime is 38829834276509. The reversal of 38829834276480 is 8467243892883.

38829834276480 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 98 + 34 + 27 + 6 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11167199493696 + 27662634782784 = 3341736^2 + 5259528^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38829834276399 and 38829834276408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1140929544 + ... + 1140963576.

Almost surely, 2^{38829834276480} is an apocalyptic number.

38829834276480 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 38829834276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74713871592360).

38829834276480 is an abundant number, since it is smaller than the sum of its proper divisors (110597908908240).

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

38829834276480 is a wasteful number, since it uses less digits than its factorization.

38829834276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35770 (or 35749 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 38829834276480 in words is "thirty-eight trillion, eight hundred twenty-nine billion, eight hundred thirty-four million, two hundred seventy-six thousand, four hundred eighty".