3665331648 has 560 divisors, whose sum is σ = 13277088000. Its totient is φ = 985374720.

The previous prime is 3665331647. The next prime is 3665331689. The reversal of 3665331648 is 8461335663.

3665331648 is a `hidden beast` number, since 3 + 66 + 533 + 16 + 48 = 666.

Its product of digits (933120) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3665331641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18418653 + ... + 18418851.

Almost surely, 2^3665331648 is an apocalyptic number.

3665331648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3665331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638544000).

3665331648 is an abundant number, since it is smaller than the sum of its proper divisors (9611756352).

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

3665331648 is a wasteful number, since it uses less digits than its factorization.

3665331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3665331648 is about 60541.9825245259. The cubic root of 3665331648 is about 1541.8344990358.

The spelling of 3665331648 in words is "three billion, six hundred sixty-five million, three hundred thirty-one thousand, six hundred forty-eight".