38648352960 has 1344 divisors, whose sum is σ = 172012538880. Its totient is φ = 8062156800.

The previous prime is 38648352947. The next prime is 38648353021. The reversal of 38648352960 is 6925384683.

38648352960 is a `hidden beast` number, since 3 + 86 + 483 + 5 + 29 + 60 = 666.

38648352960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 38648352897 and 38648352906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 382656910 + ... + 382657010.

It is an arithmetic number, because the mean of its divisors is an integer number (127985520).

Almost surely, 2^38648352960 is an apocalyptic number.

38648352960 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 38648352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86006269440).

38648352960 is an abundant number, since it is smaller than the sum of its proper divisors (133364185920).

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

38648352960 is a wasteful number, since it uses less digits than its factorization.

38648352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 38648352960 in words is "thirty-eight billion, six hundred forty-eight million, three hundred fifty-two thousand, nine hundred sixty".