38727279360 has 1512 divisors, whose sum is σ = 178280541600. Its totient is φ = 8047226880.

The previous prime is 38727279323. The next prime is 38727279389. The reversal of 38727279360 is 6397272783.

38727279360 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 7 + 279 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38727279297 and 38727279306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3520661755 + ... + 3520661765.

Almost surely, 2^38727279360 is an apocalyptic number.

38727279360 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 38727279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89140270800).

38727279360 is an abundant number, since it is smaller than the sum of its proper divisors (139553262240).

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

38727279360 is an frugal number, since it uses more digits than its factorization.

38727279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

38727279360 divided by its product of nonzero digits (5334336) gives a triangular number (7260 = T₁₂₀).

The spelling of 38727279360 in words is "thirty-eight billion, seven hundred twenty-seven million, two hundred seventy-nine thousand, three hundred sixty".