4038363648 has 160 divisors (see below), whose sum is σ = 13041040320. Its totient is φ = 1223700480.

The previous prime is 4038363643. The next prime is 4038363691. The reversal of 4038363648 is 8463638304.

4038363648 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 3 + 636 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4038363643) by changing a digit.

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, 138786 + ... + 165342.

It is an arithmetic number, because the mean of its divisors is an integer number (81506502).

Almost surely, 2^4038363648 is an apocalyptic number.

4038363648 is a gapful number since it is divisible by the number (48) 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 4038363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520520160).

4038363648 is an abundant number, since it is smaller than the sum of its proper divisors (9002676672).

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

4038363648 is a wasteful number, since it uses less digits than its factorization.

4038363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26595 (or 26573 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4038363648 is about 63548.1207275243. The cubic root of 4038363648 is about 1592.4597882408.

The spelling of 4038363648 in words is "four billion, thirty-eight million, three hundred sixty-three thousand, six hundred forty-eight".