3313564320 has 192 divisors, whose sum is σ = 11548293120. Its totient is φ = 791884800.

The previous prime is 3313564307. The next prime is 3313564349. The reversal of 3313564320 is 234653133.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 370461 + ... + 379299.

It is an arithmetic number, because the mean of its divisors is an integer number (60147360).

Almost surely, 2^3313564320 is an apocalyptic number.

3313564320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774146560).

3313564320 is an abundant number, since it is smaller than the sum of its proper divisors (8234728800).

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

3313564320 is a wasteful number, since it uses less digits than its factorization.

3313564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 3313564320 is about 57563.5676448220. The cubic root of 3313564320 is about 1490.8426265505.

The spelling of 3313564320 in words is "three billion, three hundred thirteen million, five hundred sixty-four thousand, three hundred twenty".