3668397648 has 80 divisors (see below), whose sum is σ = 9869415936. Its totient is φ = 1172828160.

The previous prime is 3668397637. The next prime is 3668397713. The reversal of 3668397648 is 8467938663.

3668397648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3668397591 and 3668397600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157236 + ... + 179052.

Almost surely, 2^3668397648 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 3668397648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934707968).

3668397648 is an abundant number, since it is smaller than the sum of its proper divisors (6201018288).

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

3668397648 is a wasteful number, since it uses less digits than its factorization.

3668397648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21972 (or 21966 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 60.

The square root of 3668397648 is about 60567.2985034003. The cubic root of 3668397648 is about 1542.2642870734.

The spelling of 3668397648 in words is "three billion, six hundred sixty-eight million, three hundred ninety-seven thousand, six hundred forty-eight".