3304409333760 has 1224 divisors, whose sum is σ = 12537533590920. Its totient is φ = 834737799168.

The previous prime is 3304409333741. The next prime is 3304409333777. The reversal of 3304409333760 is 673339044033.

3304409333760 is a `hidden beast` number, since 3 + 30 + 440 + 93 + 3 + 37 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 620893569024 + 2683515764736 = 787968^2 + 1638144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62347345894 + ... + 62347345946.

Almost surely, 2^{3304409333760} is an apocalyptic number.

3304409333760 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 3304409333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268766795460).

3304409333760 is an abundant number, since it is smaller than the sum of its proper divisors (9233124257160).

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

3304409333760 is an frugal number, since it uses more digits than its factorization.

3304409333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 45.

The spelling of 3304409333760 in words is "three trillion, three hundred four billion, four hundred nine million, three hundred thirty-three thousand, seven hundred sixty".