38676910391280 has 800 divisors, whose sum is σ = 154091761781760. Its totient is φ = 8807622635520.

The previous prime is 38676910391221. The next prime is 38676910391321. The reversal of 38676910391280 is 8219301967683.

38676910391280 is a `hidden beast` number, since 3 + 86 + 7 + 6 + 91 + 0 + 391 + 2 + 80 = 666.

38676910391280 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 159 ways as a sum of consecutive naturals, for example, 21123379965 + ... + 21123381795.

Almost surely, 2^{38676910391280} is an apocalyptic number.

38676910391280 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 38676910391280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77045880890880).

38676910391280 is an abundant number, since it is smaller than the sum of its proper divisors (115414851390480).

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

38676910391280 is a wasteful number, since it uses less digits than its factorization.

38676910391280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 38676910391280 in words is "thirty-eight trillion, six hundred seventy-six billion, nine hundred ten million, three hundred ninety-one thousand, two hundred eighty".