38879230320 has 720 divisors, whose sum is σ = 165126574080. Its totient is φ = 8143027200.

The previous prime is 38879230319. The next prime is 38879230363. The reversal of 38879230320 is 2303297883.

It is a happy number.

38879230320 is a `hidden beast` number, since 388 + 7 + 9 + 230 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 20778985 + ... + 20780855.

It is an arithmetic number, because the mean of its divisors is an integer number (229342464).

Almost surely, 2^38879230320 is an apocalyptic number.

38879230320 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 38879230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82563287040).

38879230320 is an abundant number, since it is smaller than the sum of its proper divisors (126247343760).

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

38879230320 is a wasteful number, since it uses less digits than its factorization.

38879230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38879230320 in words is "thirty-eight billion, eight hundred seventy-nine million, two hundred thirty thousand, three hundred twenty".