3659568960 has 112 divisors (see below), whose sum is σ = 11636142336. Its totient is φ = 974456832.

The previous prime is 3659568959. The next prime is 3659568961. The reversal of 3659568960 is 698659563.

It is an interprime number because it is at equal distance from previous prime (3659568959) and next prime (3659568961).

It is a self number, because there is not a number n which added to its sum of digits gives 3659568960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3659568961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762729 + ... + 767511.

It is an arithmetic number, because the mean of its divisors is an integer number (103894128).

Almost surely, 2^3659568960 is an apocalyptic number.

3659568960 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 3659568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818071168).

3659568960 is an abundant number, since it is smaller than the sum of its proper divisors (7976573376).

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

3659568960 is a wasteful number, since it uses less digits than its factorization.

3659568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The square root of 3659568960 is about 60494.3713084118. The cubic root of 3659568960 is about 1541.0260436194.

The spelling of 3659568960 in words is "three billion, six hundred fifty-nine million, five hundred sixty-eight thousand, nine hundred sixty".