3321145344 has 192 divisors, whose sum is σ = 9751734720. Its totient is φ = 996802560.

The previous prime is 3321145309. The next prime is 3321145361. The reversal of 3321145344 is 4435411233.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3321145344² = 22060012791945756672, which contains 22 as substring.

It is a congruent number.

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, 10610532 + ... + 10610844.

It is an arithmetic number, because the mean of its divisors is an integer number (50790285).

Almost surely, 2^3321145344 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 3321145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875867360).

3321145344 is an abundant number, since it is smaller than the sum of its proper divisors (6430589376).

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

3321145344 is a wasteful number, since it uses less digits than its factorization.

3321145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 3321145344 is about 57629.3791741678. The cubic root of 3321145344 is about 1491.9787148935.

Adding to 3321145344 its reverse (4435411233), we get a palindrome (7756556577).

The spelling of 3321145344 in words is "three billion, three hundred twenty-one million, one hundred forty-five thousand, three hundred forty-four".