38653916670720 has 4608 divisors, whose sum is σ = 177005664460800. Its totient is φ = 7870384963584.

The previous prime is 38653916670713. The next prime is 38653916670769. The reversal of 38653916670720 is 2707661935683.

38653916670720 is a `hidden beast` number, since 3 + 8 + 6 + 539 + 1 + 6 + 6 + 70 + 7 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 123494941284 + ... + 123494941596.

It is an arithmetic number, because the mean of its divisors is an integer number (38412687600).

Almost surely, 2^{38653916670720} is an apocalyptic number.

38653916670720 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 38653916670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88502832230400).

38653916670720 is an abundant number, since it is smaller than the sum of its proper divisors (138351747790080).

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

38653916670720 is a wasteful number, since it uses less digits than its factorization.

38653916670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 38653916670720 in words is "thirty-eight trillion, six hundred fifty-three billion, nine hundred sixteen million, six hundred seventy thousand, seven hundred twenty".