3632595847968 has 384 divisors, whose sum is σ = 10642947436800. Its totient is φ = 1079524196352.

The previous prime is 3632595847963. The next prime is 3632595847973. The reversal of 3632595847968 is 8697485952363.

3632595847968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1905937²-1.

It is an interprime number because it is at equal distance from previous prime (3632595847963) and next prime (3632595847973).

It is a self number, because there is not a number n which added to its sum of digits gives 3632595847968.

It is not an unprimeable number, because it can be changed into a prime (3632595847963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1879251930 + ... + 1879253862.

It is an arithmetic number, because the mean of its divisors is an integer number (27716008950).

Almost surely, 2^{3632595847968} 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 3632595847968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321473718400).

3632595847968 is an abundant number, since it is smaller than the sum of its proper divisors (7010351588832).

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

3632595847968 is a wasteful number, since it uses less digits than its factorization.

3632595847968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 75.

The spelling of 3632595847968 in words is "three trillion, six hundred thirty-two billion, five hundred ninety-five million, eight hundred forty-seven thousand, nine hundred sixty-eight".