3646488768 has 112 divisors (see below), whose sum is σ = 10748650080. Its totient is φ = 1083285504.

The previous prime is 3646488767. The next prime is 3646488779. The reversal of 3646488768 is 8678846463.

It is not an unprimeable number, because it can be changed into a prime (3646488767) 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, 47196 + ... + 97572.

It is an arithmetic number, because the mean of its divisors is an integer number (95970090).

Almost surely, 2^3646488768 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 3646488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374325040).

3646488768 is an abundant number, since it is smaller than the sum of its proper divisors (7102161312).

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

3646488768 is a wasteful number, since it uses less digits than its factorization.

3646488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50434 (or 50424 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 60.

The square root of 3646488768 is about 60386.1637132216. The cubic root of 3646488768 is about 1539.1878508528.

The spelling of 3646488768 in words is "three billion, six hundred forty-six million, four hundred eighty-eight thousand, seven hundred sixty-eight".