3416316560 has 120 divisors (see below), whose sum is σ = 8436265848. Its totient is φ = 1285632000.

The previous prime is 3416316521. The next prime is 3416316581. The reversal of 3416316560 is 656136143.

It can be written as a sum of positive squares in 4 ways, for example, as 105925264 + 3310391296 = 10292^2 + 57536^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3416316560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2843960 + ... + 2845160.

Almost surely, 2^3416316560 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 3416316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218132924).

3416316560 is an abundant number, since it is smaller than the sum of its proper divisors (5019949288).

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

3416316560 is a wasteful number, since it uses less digits than its factorization.

3416316560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 3416316560 is about 58449.2648371218. The cubic root of 3416316560 is about 1506.0961628210.

The spelling of 3416316560 in words is "three billion, four hundred sixteen million, three hundred sixteen thousand, five hundred sixty".