38757205831680 has 2496 divisors, whose sum is σ = 165333576228480. Its totient is φ = 8584402305024.

The previous prime is 38757205831621. The next prime is 38757205831693. The reversal of 38757205831680 is 8613850275783.

38757205831680 is a `hidden beast` number, since 3 + 8 + 7 + 572 + 0 + 58 + 3 + 1 + 6 + 8 + 0 = 666.

38757205831680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196737085342 + ... + 196737085538.

Almost surely, 2^{38757205831680} is an apocalyptic number.

38757205831680 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 38757205831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82666788114240).

38757205831680 is an abundant number, since it is smaller than the sum of its proper divisors (126576370396800).

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

38757205831680 is a wasteful number, since it uses less digits than its factorization.

38757205831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 38757205831680 in words is "thirty-eight trillion, seven hundred fifty-seven billion, two hundred five million, eight hundred thirty-one thousand, six hundred eighty".