38311784671680 has 1344 divisors, whose sum is σ = 151131797913600. Its totient is φ = 9126321684480.

The previous prime is 38311784671679. The next prime is 38311784671681. The reversal of 38311784671680 is 8617648711383.

38311784671680 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 1 + 7 + 8 + 467 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38311784671679) and next prime (38311784671681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38311784671681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7603050601 + ... + 7603055639.

It is an arithmetic number, because the mean of its divisors is an integer number (112449254400).

Almost surely, 2^{38311784671680} is an apocalyptic number.

38311784671680 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 38311784671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75565898956800).

38311784671680 is an abundant number, since it is smaller than the sum of its proper divisors (112820013241920).

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

38311784671680 is a wasteful number, since it uses less digits than its factorization.

38311784671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 38311784671680 in words is "thirty-eight trillion, three hundred eleven billion, seven hundred eighty-four million, six hundred seventy-one thousand, six hundred eighty".