3306247560 has 432 divisors, whose sum is σ = 13748143500. Its totient is φ = 686568960.

The previous prime is 3306247543. The next prime is 3306247621. The reversal of 3306247560 is 657426033.

3306247560 is a `hidden beast` number, since 3 + 30 + 62 + 4 + 7 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3229194276 + 77053284 = 56826^2 + 8778^2 .

It is a super-3 number, since 3×3306247560³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2133666 + ... + 2135214.

Almost surely, 2^3306247560 is an apocalyptic number.

3306247560 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 3306247560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874071750).

3306247560 is an abundant number, since it is smaller than the sum of its proper divisors (10441895940).

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

3306247560 is a wasteful number, since it uses less digits than its factorization.

3306247560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3306247560 is about 57499.9787826048. The cubic root of 3306247560 is about 1489.7444962247.

The spelling of 3306247560 in words is "three billion, three hundred six million, two hundred forty-seven thousand, five hundred sixty".