3300412320 has 144 divisors (see below), whose sum is σ = 11447595432. Its totient is φ = 865658880.

The previous prime is 3300412319. The next prime is 3300412369. The reversal of 3300412320 is 232140033.

3300412320 is a `hidden beast` number, since 3 + 300 + 41 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2634152976 + 666259344 = 51324^2 + 25812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3300412293 and 3300412302.

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 23 ways as a sum of consecutive naturals, for example, 69054 + ... + 106626.

Almost surely, 2^3300412320 is an apocalyptic number.

3300412320 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 3300412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723797716).

3300412320 is an abundant number, since it is smaller than the sum of its proper divisors (8147183112).

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

3300412320 is a wasteful number, since it uses less digits than its factorization.

3300412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37655 (or 37644 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3300412320 is about 57449.2151382419. The cubic root of 3300412320 is about 1488.8675568670.

Adding to 3300412320 its reverse (232140033), we get a palindrome (3532552353).

The spelling of 3300412320 in words is "three billion, three hundred million, four hundred twelve thousand, three hundred twenty".