3303804672000 has 1728 divisors, whose sum is σ = 14182631910720. Its totient is φ = 752467968000.

The previous prime is 3303804671987. The next prime is 3303804672019. The reversal of 3303804672000 is 2764083033.

3303804672000 is a `hidden beast` number, since 3 + 30 + 380 + 46 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 11757311860 + ... + 11757312140.

It is an arithmetic number, because the mean of its divisors is an integer number (8207541615).

Almost surely, 2^{3303804672000} is an apocalyptic number.

3303804672000 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 3303804672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091315955360).

3303804672000 is an abundant number, since it is smaller than the sum of its proper divisors (10878827238720).

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

3303804672000 is an frugal number, since it uses more digits than its factorization.

3303804672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 3303804672000 in words is "three trillion, three hundred three billion, eight hundred four million, six hundred seventy-two thousand".