38718829255680 has 1056 divisors, whose sum is σ = 161552766735360. Its totient is φ = 8376043438080.

The previous prime is 38718829255633. The next prime is 38718829255693. The reversal of 38718829255680 is 8655292881783.

It is a happy number.

38718829255680 is a `hidden beast` number, since 3 + 8 + 7 + 18 + 8 + 29 + 25 + 568 + 0 = 666.

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 = 38718829255599 and 38718829255608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7948843645 + ... + 7948848515.

It is an arithmetic number, because the mean of its divisors is an integer number (152985574560).

Almost surely, 2^{38718829255680} is an apocalyptic number.

38718829255680 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 38718829255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80776383367680).

38718829255680 is an abundant number, since it is smaller than the sum of its proper divisors (122833937479680).

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

38718829255680 is a wasteful number, since it uses less digits than its factorization.

38718829255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 38718829255680 in words is "thirty-eight trillion, seven hundred eighteen billion, eight hundred twenty-nine million, two hundred fifty-five thousand, six hundred eighty".