3343785984 has 672 divisors, whose sum is σ = 13085429760. Its totient is φ = 796262400.

The previous prime is 3343785983. The next prime is 3343786021. The reversal of 3343785984 is 4895873433.

3343785984 is a `hidden beast` number, since 3 + 3 + 43 + 7 + 8 + 598 + 4 = 666.

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

It is a super-2 number, since 2×3343785984² = 22361809413589696512, 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 3343785984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343785983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107864049 + ... + 107864079.

Almost surely, 2^3343785984 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 3343785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542714880).

3343785984 is an abundant number, since it is smaller than the sum of its proper divisors (9741643776).

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

3343785984 is a wasteful number, since it uses less digits than its factorization.

3343785984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3343785984 is about 57825.4786750616. The cubic root of 3343785984 is about 1495.3613715371.

The spelling of 3343785984 in words is "three billion, three hundred forty-three million, seven hundred eighty-five thousand, nine hundred eighty-four".