3838455648 has 192 divisors, whose sum is σ = 11735539200. Its totient is φ = 1218286080.

The previous prime is 3838455641. The next prime is 3838455659. The reversal of 3838455648 is 8465548383.

3838455648 is a `hidden beast` number, since 3 + 8 + 3 + 84 + 556 + 4 + 8 = 666.

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 = 3838455594 and 3838455603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838455641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8326138 + ... + 8326598.

It is an arithmetic number, because the mean of its divisors is an integer number (61122600).

Almost surely, 2^3838455648 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 3838455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867769600).

3838455648 is an abundant number, since it is smaller than the sum of its proper divisors (7897083552).

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

3838455648 is a wasteful number, since it uses less digits than its factorization.

3838455648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 908 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The square root of 3838455648 is about 61955.2713495793. The cubic root of 3838455648 is about 1565.7371000661.

The spelling of 3838455648 in words is "three billion, eight hundred thirty-eight million, four hundred fifty-five thousand, six hundred forty-eight".