38652635833920 has 448 divisors, whose sum is σ = 137132963020800. Its totient is φ = 10248831866880.

The previous prime is 38652635833907. The next prime is 38652635833939. The reversal of 38652635833920 is 2933853625683.

38652635833920 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 26 + 3 + 583 + 3 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5378128567 + ... + 5378135753.

Almost surely, 2^{38652635833920} is an apocalyptic number.

38652635833920 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 38652635833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68566481510400).

38652635833920 is an abundant number, since it is smaller than the sum of its proper divisors (98480327186880).

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

38652635833920 is a wasteful number, since it uses less digits than its factorization.

38652635833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 38652635833920 in words is "thirty-eight trillion, six hundred fifty-two billion, six hundred thirty-five million, eight hundred thirty-three thousand, nine hundred twenty".