38970730624320 has 2016 divisors, whose sum is σ = 155529366969600. Its totient is φ = 8953426944000.

The previous prime is 38970730624279. The next prime is 38970730624327. The reversal of 38970730624320 is 2342603707983.

38970730624320 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 0 + 7 + 3 + 0 + 624 + 3 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38970730624327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 261548527606 + ... + 261548527754.

Almost surely, 2^{38970730624320} is an apocalyptic number.

38970730624320 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 38970730624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77764683484800).

38970730624320 is an abundant number, since it is smaller than the sum of its proper divisors (116558636345280).

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

38970730624320 is a wasteful number, since it uses less digits than its factorization.

38970730624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 38970730624320 in words is "thirty-eight trillion, nine hundred seventy billion, seven hundred thirty million, six hundred twenty-four thousand, three hundred twenty".