38298705120 has 288 divisors, whose sum is σ = 145962546912. Its totient is φ = 9427249152.

The previous prime is 38298705083. The next prime is 38298705127. The reversal of 38298705120 is 2150789283.

It is a happy number.

38298705120 is a `hidden beast` number, since 38 + 29 + 87 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38298705127) 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 47 ways as a sum of consecutive naturals, for example, 467554 + ... + 543326.

It is an arithmetic number, because the mean of its divisors is an integer number (506814399).

Almost surely, 2^38298705120 is an apocalyptic number.

38298705120 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 38298705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72981273456).

38298705120 is an abundant number, since it is smaller than the sum of its proper divisors (107663841792).

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

38298705120 is a wasteful number, since it uses less digits than its factorization.

38298705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75816 (or 75796 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 38298705120 in words is "thirty-eight billion, two hundred ninety-eight million, seven hundred five thousand, one hundred twenty".