3345686784 has 216 divisors, whose sum is σ = 10620084384. Its totient is φ = 1012915200.

The previous prime is 3345686777. The next prime is 3345686791. The reversal of 3345686784 is 4876865433.

3345686784 is a `hidden beast` number, since 3 + 3 + 4 + 568 + 6 + 78 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3345686777) and next prime (3345686791).

It is a super-2 number, since 2×3345686784² = 22387240113264525312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3345686784.

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, 3066079 + ... + 3067169.

Almost surely, 2^3345686784 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 3345686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310042192).

3345686784 is an abundant number, since it is smaller than the sum of its proper divisors (7274397600).

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

3345686784 is a wasteful number, since it uses less digits than its factorization.

3345686784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1107 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3345686784 is about 57841.9120015928. The cubic root of 3345686784 is about 1495.6446676260.

The spelling of 3345686784 in words is "three billion, three hundred forty-five million, six hundred eighty-six thousand, seven hundred eighty-four".