3347386560 has 560 divisors, whose sum is σ = 14339255040. Its totient is φ = 724101120.

The previous prime is 3347386507. The next prime is 3347386571. The reversal of 3347386560 is 656837433.

3347386560 is a `hidden beast` number, since 3 + 3 + 4 + 7 + 3 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×3347386560² = 22409993564137267200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3446875 + ... + 3447845.

Almost surely, 2^3347386560 is an apocalyptic number.

3347386560 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 3347386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169627520).

3347386560 is an abundant number, since it is smaller than the sum of its proper divisors (10991868480).

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

3347386560 is a wasteful number, since it uses less digits than its factorization.

3347386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3347386560 is about 57856.6034260567. The cubic root of 3347386560 is about 1495.8979121429.

The spelling of 3347386560 in words is "three billion, three hundred forty-seven million, three hundred eighty-six thousand, five hundred sixty".