333900328320 has 384 divisors, whose sum is σ = 1245250843200. Its totient is φ = 81955307520.

The previous prime is 333900328297. The next prime is 333900328331. The reversal of 333900328320 is 23823009333.

333900328320 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 0 + 0 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×333900328320² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26875710 + ... + 26888130.

Almost surely, 2^333900328320 is an apocalyptic number.

333900328320 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 333900328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622625421600).

333900328320 is an abundant number, since it is smaller than the sum of its proper divisors (911350514880).

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

333900328320 is a wasteful number, since it uses less digits than its factorization.

333900328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12803 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 333900328320 in words is "three hundred thirty-three billion, nine hundred million, three hundred twenty-eight thousand, three hundred twenty".