38643971520 has 896 divisors, whose sum is σ = 160115097600. Its totient is φ = 7824445440.

The previous prime is 38643971501. The next prime is 38643971521. The reversal of 38643971520 is 2517934683.

It is a super-2 number, since 2×38643971520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38643971520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38643971521) 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 127 ways as a sum of consecutive naturals, for example, 170237647 + ... + 170237873.

It is a 1-persistent number, because it is pandigital, but 2⋅38643971520 = 77287943040 is not.

Almost surely, 2^38643971520 is an apocalyptic number.

38643971520 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 38643971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80057548800).

38643971520 is an abundant number, since it is smaller than the sum of its proper divisors (121471126080).

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

38643971520 is a wasteful number, since it uses less digits than its factorization.

38643971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 38643971520 in words is "thirty-eight billion, six hundred forty-three million, nine hundred seventy-one thousand, five hundred twenty".