38680443648 has 432 divisors, whose sum is σ = 143711841280. Its totient is φ = 10045347840.

The previous prime is 38680443583. The next prime is 38680443671. The reversal of 38680443648 is 84634408683.

38680443648 is a `hidden beast` number, since 3 + 86 + 80 + 443 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×38680443648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38680443594 and 38680443603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5851161 + ... + 5857767.

Almost surely, 2^38680443648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38680443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71855920640).

38680443648 is an abundant number, since it is smaller than the sum of its proper divisors (105031397632).

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

38680443648 is a wasteful number, since it uses less digits than its factorization.

38680443648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 38680443648 in words is "thirty-eight billion, six hundred eighty million, four hundred forty-three thousand, six hundred forty-eight".