3343213000 has 64 divisors (see below), whose sum is σ = 7835508720. Its totient is φ = 1335168000.

The previous prime is 3343212953. The next prime is 3343213007. The reversal of 3343213000 is 3123433.

It can be written as a sum of positive squares in 8 ways, for example, as 542051524 + 2801161476 = 23282^2 + 52926^2 .

It is a super-2 number, since 2×3343213000² = 22354146326738000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3343213007) 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, 730720 + ... + 735280.

Almost surely, 2^3343213000 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 3343213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917754360).

3343213000 is an abundant number, since it is smaller than the sum of its proper divisors (4492295720).

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

3343213000 is a wasteful number, since it uses less digits than its factorization.

3343213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3343213000 is about 57820.5240377498. The cubic root of 3343213000 is about 1495.2759526846.

Adding to 3343213000 its reverse (3123433), we get a palindrome (3346336433).

The spelling of 3343213000 in words is "three billion, three hundred forty-three million, two hundred thirteen thousand".