3233056005000 has 960 divisors, whose sum is σ = 12015203904000. Its totient is φ = 805059072000.

The previous prime is 3233056004977. The next prime is 3233056005001. The reversal of 3233056005000 is 5006503323.

3233056005000 is a `hidden beast` number, since 3 + 2 + 3 + 3 + 0 + 5 + 600 + 50 + 0 + 0 = 666.

It is a super-2 number, since 2×3233056005000² (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 not an unprimeable number, because it can be changed into a prime (3233056005001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 6749594761 + ... + 6749595239.

It is an arithmetic number, because the mean of its divisors is an integer number (12515837400).

Almost surely, 2^{3233056005000} is an apocalyptic number.

3233056005000 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 3233056005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007601952000).

3233056005000 is an abundant number, since it is smaller than the sum of its proper divisors (8782147899000).

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

3233056005000 is a wasteful number, since it uses less digits than its factorization.

3233056005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 3233056005000 in words is "three trillion, two hundred thirty-three billion, fifty-six million, five thousand".