38178508680 has 512 divisors, whose sum is σ = 143990784000. Its totient is φ = 8927677440.

The previous prime is 38178508679. The next prime is 38178508691. The reversal of 38178508680 is 8680587183.

It is a happy number.

38178508680 is a `hidden beast` number, since 3 + 8 + 1 + 78 + 508 + 68 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 61677411 + ... + 61678029.

It is an arithmetic number, because the mean of its divisors is an integer number (281232000).

Almost surely, 2^38178508680 is an apocalyptic number.

38178508680 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 38178508680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392000).

38178508680 is an abundant number, since it is smaller than the sum of its proper divisors (105812275320).

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

38178508680 is a wasteful number, since it uses less digits than its factorization.

38178508680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 38178508680 in words is "thirty-eight billion, one hundred seventy-eight million, five hundred eight thousand, six hundred eighty".