3320745120 has 768 divisors, whose sum is σ = 14805504000. Its totient is φ = 675164160.

The previous prime is 3320745119. The next prime is 3320745161. The reversal of 3320745120 is 215470233.

3320745120 is a `hidden beast` number, since 3 + 3 + 207 + 451 + 2 + 0 = 666.

It is a super-2 number, since 2×3320745120² = 22054696304007628800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22286806 + ... + 22286954.

It is an arithmetic number, because the mean of its divisors is an integer number (19278000).

Almost surely, 2^3320745120 is an apocalyptic number.

3320745120 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 3320745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752000).

3320745120 is an abundant number, since it is smaller than the sum of its proper divisors (11484758880).

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

3320745120 is a wasteful number, since it uses less digits than its factorization.

3320745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3320745120 is about 57625.9066739952. The cubic root of 3320745120 is about 1491.9187807829.

The spelling of 3320745120 in words is "three billion, three hundred twenty million, seven hundred forty-five thousand, one hundred twenty".