38655409248 has 96 divisors (see below), whose sum is σ = 113035759200. Its totient is φ = 12851900928.

The previous prime is 38655409231. The next prime is 38655409271. The reversal of 38655409248 is 84290455683.

38655409248 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 540 + 92 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 38655409194 and 38655409203.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 278590 + ... + 393602.

It is an arithmetic number, because the mean of its divisors is an integer number (1177455825).

Almost surely, 2^38655409248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38655409248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56517879600).

38655409248 is an abundant number, since it is smaller than the sum of its proper divisors (74380349952).

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

38655409248 is a wasteful number, since it uses less digits than its factorization.

38655409248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115421 (or 115407 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 38655409248 in words is "thirty-eight billion, six hundred fifty-five million, four hundred nine thousand, two hundred forty-eight".