38865685884480 has 2688 divisors, whose sum is σ = 176456107376640. Its totient is φ = 7628698091520.

The previous prime is 38865685884479. The next prime is 38865685884517. The reversal of 38865685884480 is 8448858656883.

38865685884480 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 5 + 6 + 8 + 58 + 84 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38865685884480.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36631183150 + ... + 36631184210.

It is an arithmetic number, because the mean of its divisors is an integer number (65645873280).

Almost surely, 2^{38865685884480} is an apocalyptic number.

38865685884480 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 38865685884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88228053688320).

38865685884480 is an abundant number, since it is smaller than the sum of its proper divisors (137590421492160).

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

38865685884480 is a wasteful number, since it uses less digits than its factorization.

38865685884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 11324620800, while the sum is 81.

The spelling of 38865685884480 in words is "thirty-eight trillion, eight hundred sixty-five billion, six hundred eighty-five million, eight hundred eighty-four thousand, four hundred eighty".