3659800320 has 360 divisors, whose sum is σ = 14290380720. Its totient is φ = 886947840.

The previous prime is 3659800283. The next prime is 3659800321. The reversal of 3659800320 is 230089563.

3659800320 is a `hidden beast` number, since 36 + 598 + 0 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3659800321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1138876 + ... + 1142084.

It is an arithmetic number, because the mean of its divisors is an integer number (39695502).

Almost surely, 2^3659800320 is an apocalyptic number.

3659800320 is a gapful number since it is divisible by the number (30) 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 3659800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145190360).

3659800320 is an abundant number, since it is smaller than the sum of its proper divisors (10630580400).

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

3659800320 is a wasteful number, since it uses less digits than its factorization.

3659800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3659800320 is about 60496.2835222132. The cubic root of 3659800320 is about 1541.0585177783.

Adding to 3659800320 its reverse (230089563), we get a palindrome (3889889883).

The spelling of 3659800320 in words is "three billion, six hundred fifty-nine million, eight hundred thousand, three hundred twenty".