3668930560 has 104 divisors (see below), whose sum is σ = 9188336160. Its totient is φ = 1403584512.

The previous prime is 3668930549. The next prime is 3668930567. The reversal of 3668930560 is 650398663.

It is a super-2 number, since 2×3668930560² = 26922102908203827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 3668930560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668930567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467146 + ... + 474934.

Almost surely, 2^3668930560 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 3668930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594168080).

3668930560 is an abundant number, since it is smaller than the sum of its proper divisors (5519405600).

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

3668930560 is an equidigital number, since it uses as much as digits as its factorization.

3668930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7841 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The square root of 3668930560 is about 60571.6976813429. The cubic root of 3668930560 is about 1542.3389655778.

The spelling of 3668930560 in words is "three billion, six hundred sixty-eight million, nine hundred thirty thousand, five hundred sixty".