3343730624 has 112 divisors (see below), whose sum is σ = 7452664800. Its totient is φ = 1477840896.

The previous prime is 3343730581. The next prime is 3343730627. The reversal of 3343730624 is 4260373433.

It is a Cunningham number, because it is equal to 57825²-1.

It is a super-2 number, since 2×3343730624² = 22361068971750858752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343730627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3353294 + ... + 3354290.

It is an arithmetic number, because the mean of its divisors is an integer number (66541650).

Almost surely, 2^3343730624 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 3343730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726332400).

3343730624 is an abundant number, since it is smaller than the sum of its proper divisors (4108934176).

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

3343730624 is a wasteful number, since it uses less digits than its factorization.

3343730624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 35.

The square root of 3343730624 is about 57824.9999913532. Note that the first 5 decimals coincide. The cubic root of 3343730624 is about 1495.3531190490.

The spelling of 3343730624 in words is "three billion, three hundred forty-three million, seven hundred thirty thousand, six hundred twenty-four".