3083323320 has 640 divisors, whose sum is σ = 13699445760. Its totient is φ = 602173440.

The previous prime is 3083323307. The next prime is 3083323349. The reversal of 3083323320 is 233233803.

3083323320 is a `hidden beast` number, since 3 + 0 + 8 + 332 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4240797 + ... + 4241523.

It is an arithmetic number, because the mean of its divisors is an integer number (21405384).

Almost surely, 2^3083323320 is an apocalyptic number.

3083323320 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 3083323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849722880).

3083323320 is an abundant number, since it is smaller than the sum of its proper divisors (10616122440).

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

3083323320 is a wasteful number, since it uses less digits than its factorization.

3083323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3083323320 is about 55527.6806646919. The cubic root of 3083323320 is about 1455.4803812890.

The spelling of 3083323320 in words is "three billion, eighty-three million, three hundred twenty-three thousand, three hundred twenty".