3333330495072 has 288 divisors, whose sum is σ = 10202742897984. Its totient is φ = 1028527718400.

The previous prime is 3333330495049. The next prime is 3333330495083. The reversal of 3333330495072 is 2705940333333.

3333330495072 is a `hidden beast` number, since 3 + 3 + 333 + 304 + 9 + 5 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3333330495072² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146334948 + ... + 146357724.

It is an arithmetic number, because the mean of its divisors is an integer number (35426190618).

Almost surely, 2^{3333330495072} is an apocalyptic number.

3333330495072 is a gapful number since it is divisible by the number (32) 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 3333330495072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101371448992).

3333330495072 is an abundant number, since it is smaller than the sum of its proper divisors (6869412402912).

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

3333330495072 is a wasteful number, since it uses less digits than its factorization.

3333330495072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23302 (or 23291 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 45.

The spelling of 3333330495072 in words is "three trillion, three hundred thirty-three billion, three hundred thirty million, four hundred ninety-five thousand, seventy-two".