3659355648 has 360 divisors, whose sum is σ = 11837599488. Its totient is φ = 1086898176.

The previous prime is 3659355647. The next prime is 3659355653. The reversal of 3659355648 is 8465539563.

It is a happy number.

3659355648 is a `hidden beast` number, since 3 + 6 + 593 + 5 + 5 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3659355594 and 3659355603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3659355641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28813761 + ... + 28813887.

Almost surely, 2^3659355648 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 3659355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918799744).

3659355648 is an abundant number, since it is smaller than the sum of its proper divisors (8178243840).

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

3659355648 is a wasteful number, since it uses less digits than its factorization.

3659355648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The square root of 3659355648 is about 60492.6082095986. The cubic root of 3659355648 is about 1540.9961015016.

The spelling of 3659355648 in words is "three billion, six hundred fifty-nine million, three hundred fifty-five thousand, six hundred forty-eight".