38983825152 has 216 divisors, whose sum is σ = 119720358576. Its totient is φ = 12642656256.

The previous prime is 38983825147. The next prime is 38983825159. The reversal of 38983825152 is 25152838983.

38983825152 is a `hidden beast` number, since 3 + 8 + 98 + 38 + 2 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (38983825159) 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 23 ways as a sum of consecutive naturals, for example, 2293228 + ... + 2310164.

Almost surely, 2^38983825152 is an apocalyptic number.

38983825152 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 38983825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59860179288).

38983825152 is an abundant number, since it is smaller than the sum of its proper divisors (80736533424).

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

38983825152 is an equidigital number, since it uses as much as digits as its factorization.

38983825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17005 (or 16979 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 38983825152 in words is "thirty-eight billion, nine hundred eighty-three million, eight hundred twenty-five thousand, one hundred fifty-two".