38383954560 has 768 divisors, whose sum is σ = 166006713600. Its totient is φ = 7968522240.

The previous prime is 38383954537. The next prime is 38383954649. The reversal of 38383954560 is 6545938383.

It is a happy number.

38383954560 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 39 + 545 + 60 = 666.

38383954560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38383954497 and 38383954506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19876795 + ... + 19878725.

It is an arithmetic number, because the mean of its divisors is an integer number (216154575).

Almost surely, 2^38383954560 is an apocalyptic number.

38383954560 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 38383954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83003356800).

38383954560 is an abundant number, since it is smaller than the sum of its proper divisors (127622759040).

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

38383954560 is a wasteful number, since it uses less digits than its factorization.

38383954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 38383954560 in words is "thirty-eight billion, three hundred eighty-three million, nine hundred fifty-four thousand, five hundred sixty".