3628243968 has 132 divisors (see below), whose sum is σ = 10000741320. Its totient is φ = 1169448960.

The previous prime is 3628243963. The next prime is 3628243973. The reversal of 3628243968 is 8693428263.

It is an interprime number because it is at equal distance from previous prime (3628243963) and next prime (3628243973).

It is a self number, because there is not a number n which added to its sum of digits gives 3628243968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628243961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2951578 + ... + 2952806.

Almost surely, 2^3628243968 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 3628243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000370660).

3628243968 is an abundant number, since it is smaller than the sum of its proper divisors (6372497352).

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

3628243968 is a wasteful number, since it uses less digits than its factorization.

3628243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1265 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 3628243968 is about 60234.9065575767. The cubic root of 3628243968 is about 1536.6165059914.

The spelling of 3628243968 in words is "three billion, six hundred twenty-eight million, two hundred forty-three thousand, nine hundred sixty-eight".