3304400242320 has 200 divisors, whose sum is σ = 11482603961400. Its totient is φ = 880717916160.

The previous prime is 3304400242307. The next prime is 3304400242357. The reversal of 3304400242320 is 232420044033.

3304400242320 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 400 + 24 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1152522485136 + 2151877757184 = 1073556^2 + 1466928^2 .

It is a super-2 number, since 2×3304400242320² (a number of 26 digits) 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12498700 + ... + 12760340.

It is an arithmetic number, because the mean of its divisors is an integer number (57413019807).

Almost surely, 2^{3304400242320} is an apocalyptic number.

3304400242320 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 3304400242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741301980700).

3304400242320 is an abundant number, since it is smaller than the sum of its proper divisors (8178203719080).

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

3304400242320 is a wasteful number, since it uses less digits than its factorization.

3304400242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263615 (or 263600 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3304400242320 its reverse (232420044033), we get a palindrome (3536820286353).

The spelling of 3304400242320 in words is "three trillion, three hundred four billion, four hundred million, two hundred forty-two thousand, three hundred twenty".