3344618560 has 112 divisors (see below), whose sum is σ = 8128065024. Its totient is φ = 1310588928.

The previous prime is 3344618527. The next prime is 3344618581. The reversal of 3344618560 is 658164433.

It is a super-3 number, since 3×3344618560³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5509777 + ... + 5510383.

Almost surely, 2^3344618560 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 3344618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064032512).

3344618560 is an abundant number, since it is smaller than the sum of its proper divisors (4783446464).

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

3344618560 is a wasteful number, since it uses less digits than its factorization.

3344618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 3344618560 is about 57832.6772681328. The cubic root of 3344618560 is about 1495.4854722499.

The spelling of 3344618560 in words is "three billion, three hundred forty-four million, six hundred eighteen thousand, five hundred sixty".