38653468978320 has 1200 divisors, whose sum is σ = 159467523336000. Its totient is φ = 8649128097792.

The previous prime is 38653468978309. The next prime is 38653468978339. The reversal of 38653468978320 is 2387986435683.

38653468978320 is a `hidden beast` number, since 3 + 8 + 6 + 53 + 468 + 97 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8397449139 + ... + 8397453741.

It is an arithmetic number, because the mean of its divisors is an integer number (132889602780).

Almost surely, 2^{38653468978320} is an apocalyptic number.

38653468978320 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 38653468978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79733761668000).

38653468978320 is an abundant number, since it is smaller than the sum of its proper divisors (120814054357680).

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

38653468978320 is a wasteful number, since it uses less digits than its factorization.

38653468978320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 38653468978320 in words is "thirty-eight trillion, six hundred fifty-three billion, four hundred sixty-eight million, nine hundred seventy-eight thousand, three hundred twenty".