9038389248 has 336 divisors, whose sum is σ = 30341840256. Its totient is φ = 2539192320.

The previous prime is 9038389231. The next prime is 9038389271. The reversal of 9038389248 is 8429838309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9038389194 and 9038389203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42835863 + ... + 42836073.

It is an arithmetic number, because the mean of its divisors is an integer number (90303096).

Almost surely, 2^9038389248 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 9038389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15170920128).

9038389248 is an abundant number, since it is smaller than the sum of its proper divisors (21303451008).

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

9038389248 is a wasteful number, since it uses less digits than its factorization.

9038389248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9038389248 is about 95070.4436089366. The cubic root of 9038389248 is about 2083.0371410269.

The spelling of 9038389248 in words is "nine billion, thirty-eight million, three hundred eighty-nine thousand, two hundred forty-eight".