3321013000 has 64 divisors (see below), whose sum is σ = 7779985200. Its totient is φ = 1326899200.

The previous prime is 3321012991. The next prime is 3321013013. The reversal of 3321013000 is 3101233.

It can be written as a sum of positive squares in 8 ways, for example, as 346183236 + 2974829764 = 18606^2 + 54542^2 .

It is a super-2 number, since 2×3321013000² = 22058254692338000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407822 + ... + 1410178.

Almost surely, 2^3321013000 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 3321013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889992600).

3321013000 is an abundant number, since it is smaller than the sum of its proper divisors (4458972200).

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

3321013000 is a wasteful number, since it uses less digits than its factorization.

3321013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3321013000 is about 57628.2309289466. The cubic root of 3321013000 is about 1491.9588967250.

Adding to 3321013000 its reverse (3101233), we get a palindrome (3324114233).

The spelling of 3321013000 in words is "three billion, three hundred twenty-one million, thirteen thousand".