3516579360 has 672 divisors, whose sum is σ = 14675230080. Its totient is φ = 779341824.

The previous prime is 3516579349. The next prime is 3516579361. The reversal of 3516579360 is 639756153.

3516579360 is a `hidden beast` number, since 3 + 5 + 16 + 579 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3516579361) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48172284 + ... + 48172356.

It is an arithmetic number, because the mean of its divisors is an integer number (21838140).

Almost surely, 2^3516579360 is an apocalyptic number.

3516579360 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 3516579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337615040).

3516579360 is an abundant number, since it is smaller than the sum of its proper divisors (11158650720).

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

3516579360 is an equidigital number, since it uses as much as digits as its factorization.

3516579360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 3516579360 is about 59300.7534522117. The cubic root of 3516579360 is about 1520.6880772076.

The spelling of 3516579360 in words is "three billion, five hundred sixteen million, five hundred seventy-nine thousand, three hundred sixty".