3343668000 has 96 divisors (see below), whose sum is σ = 10953895680. Its totient is φ = 891641600.

The previous prime is 3343667989. The next prime is 3343668037. The reversal of 3343668000 is 8663433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3343668000² = 22360231388448000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127320 + ... + 151319.

It is an arithmetic number, because the mean of its divisors is an integer number (114103080).

Almost surely, 2^3343668000 is an apocalyptic number.

3343668000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3343668000 is an abundant number, since it is smaller than the sum of its proper divisors (7610227680).

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

3343668000 is a wasteful number, since it uses less digits than its factorization.

3343668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278667 (or 278649 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3343668000 is about 57824.4584929249. The cubic root of 3343668000 is about 1495.3437836102.

The spelling of 3343668000 in words is "three billion, three hundred forty-three million, six hundred sixty-eight thousand".