3354346000 has 80 divisors (see below), whose sum is σ = 8330203440. Its totient is φ = 1305446400.

The previous prime is 3354345947. The next prime is 3354346003. The reversal of 3354346000 is 6434533.

It can be written as a sum of positive squares in 8 ways, for example, as 363131136 + 2991214864 = 19056^2 + 54692^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3354346000² = 22503274175432000000, 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 3354346000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354346003) 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, 51336 + ... + 96664.

It is an arithmetic number, because the mean of its divisors is an integer number (104127543).

Almost surely, 2^3354346000 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 3354346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165101720).

3354346000 is an abundant number, since it is smaller than the sum of its proper divisors (4975857440).

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

3354346000 is a wasteful number, since it uses less digits than its factorization.

3354346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45389 (or 45373 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 3354346000 is about 57916.7160671252. The cubic root of 3354346000 is about 1496.9338850445.

The spelling of 3354346000 in words is "three billion, three hundred fifty-four million, three hundred forty-six thousand".