38633897272320 has 1760 divisors, whose sum is σ = 164462773026816. Its totient is φ = 8486166528000.

The previous prime is 38633897272301. The next prime is 38633897272337. The reversal of 38633897272320 is 2327279833683.

It is a happy number.

38633897272320 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 38 + 9 + 7 + 272 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 13589128819 + ... + 13589131661.

Almost surely, 2^{38633897272320} is an apocalyptic number.

38633897272320 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 38633897272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82231386513408).

38633897272320 is an abundant number, since it is smaller than the sum of its proper divisors (125828875754496).

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

38633897272320 is a wasteful number, since it uses less digits than its factorization.

38633897272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 38633897272320 in words is "thirty-eight trillion, six hundred thirty-three billion, eight hundred ninety-seven million, two hundred seventy-two thousand, three hundred twenty".