3536682048 has 112 divisors (see below), whose sum is σ = 10432206720. Its totient is φ = 1174924800.

The previous prime is 3536682013. The next prime is 3536682049. The reversal of 3536682048 is 8402866353.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3536681994 and 3536682012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536682049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534118 + ... + 540698.

Almost surely, 2^3536682048 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 3536682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216103360).

3536682048 is an abundant number, since it is smaller than the sum of its proper divisors (6895524672).

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

3536682048 is a wasteful number, since it uses less digits than its factorization.

3536682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3536682048 is about 59470.0096519246. The cubic root of 3536682048 is about 1523.5802675708.

It can be divided in two parts, 3536 and 682048, that added together give a square (685584 = 828²).

The spelling of 3536682048 in words is "three billion, five hundred thirty-six million, six hundred eighty-two thousand, forty-eight".