38244649727232 has 1080 divisors, whose sum is σ = 125542635867264. Its totient is φ = 11621115297792.

The previous prime is 38244649727231. The next prime is 38244649727267. The reversal of 38244649727232 is 23272794644283.

38244649727232 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 46 + 497 + 2 + 72 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38244649727232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38244649727231) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 82601835033 + ... + 82601835495.

Almost surely, 2^{38244649727232} is an apocalyptic number.

38244649727232 is a gapful number since it is divisible by the number (32) 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 38244649727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62771317933632).

38244649727232 is an abundant number, since it is smaller than the sum of its proper divisors (87297986140032).

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

38244649727232 is an frugal number, since it uses more digits than its factorization.

38244649727232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 578 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 63.

The spelling of 38244649727232 in words is "thirty-eight trillion, two hundred forty-four billion, six hundred forty-nine million, seven hundred twenty-seven thousand, two hundred thirty-two".