38779397280 has 288 divisors, whose sum is σ = 144933909120. Its totient is φ = 9383639040.

The previous prime is 38779397263. The next prime is 38779397281. The reversal of 38779397280 is 8279397783.

38779397280 is a `hidden beast` number, since 387 + 7 + 93 + 97 + 2 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38779397281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086925 + ... + 1122035.

It is an arithmetic number, because the mean of its divisors is an integer number (503242740).

Almost surely, 2^38779397280 is an apocalyptic number.

38779397280 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 38779397280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72466954560).

38779397280 is an abundant number, since it is smaller than the sum of its proper divisors (106154511840).

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

38779397280 is a wasteful number, since it uses less digits than its factorization.

38779397280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35204 (or 35193 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 38779397280 in words is "thirty-eight billion, seven hundred seventy-nine million, three hundred ninety-seven thousand, two hundred eighty".