38820997152 has 216 divisors, whose sum is σ = 128907821952. Its totient is φ = 11049696000.

The previous prime is 38820997151. The next prime is 38820997153. The reversal of 38820997152 is 25179902883.

38820997152 is a `hidden beast` number, since 388 + 20 + 9 + 97 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (38820997151) and next prime (38820997153).

It is a super-2 number, since 2×38820997152² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38820997151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3819277 + ... + 3829427.

It is an arithmetic number, because the mean of its divisors is an integer number (596795472).

Almost surely, 2^38820997152 is an apocalyptic number.

38820997152 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 38820997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64453910976).

38820997152 is an abundant number, since it is smaller than the sum of its proper divisors (90086824800).

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

38820997152 is a wasteful number, since it uses less digits than its factorization.

38820997152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 38820997152 in words is "thirty-eight billion, eight hundred twenty million, nine hundred ninety-seven thousand, one hundred fifty-two".