3322313000 has 64 divisors (see below), whose sum is σ = 7843277520. Its totient is φ = 1317120000.

The previous prime is 3322312969. The next prime is 3322313041. The reversal of 3322313000 is 3132233.

It can be written as a sum of positive squares in 8 ways, for example, as 432390436 + 2889922564 = 20794^2 + 53758^2 .

It is a super-2 number, since 2×3322313000² = 22075527339938000000, 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 3322313000.

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, 98300 + ... + 127700.

Almost surely, 2^3322313000 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 3322313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921638760).

3322313000 is an abundant number, since it is smaller than the sum of its proper divisors (4520964520).

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

3322313000 is a wasteful number, since it uses less digits than its factorization.

3322313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29535 (or 29521 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 3322313000 is about 57639.5090194217. The cubic root of 3322313000 is about 1492.1535455209.

Adding to 3322313000 its reverse (3132233), we get a palindrome (3325445233).

The spelling of 3322313000 in words is "three billion, three hundred twenty-two million, three hundred thirteen thousand".