38243057422752 has 1080 divisors, whose sum is σ = 144350235865836. Its totient is φ = 9895483293696.

The previous prime is 38243057422729. The next prime is 38243057422753. The reversal of 38243057422752 is 25722475034283.

38243057422752 is a `hidden beast` number, since 3 + 8 + 2 + 43 + 0 + 574 + 2 + 27 + 5 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3313113478416 + 34929943944336 = 1820196^2 + 5910156^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38243057422753) 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 179 ways as a sum of consecutive naturals, for example, 1137593848 + ... + 1137627464.

Almost surely, 2^{38243057422752} is an apocalyptic number.

38243057422752 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 38243057422752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72175117932918).

38243057422752 is an abundant number, since it is smaller than the sum of its proper divisors (106107178443084).

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

38243057422752 is a wasteful number, since it uses less digits than its factorization.

38243057422752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33732 (or 33695 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 38243057422752 in words is "thirty-eight trillion, two hundred forty-three billion, fifty-seven million, four hundred twenty-two thousand, seven hundred fifty-two".