3233412000 has 1152 divisors, whose sum is σ = 15058068480. Its totient is φ = 667699200.

The previous prime is 3233411989. The next prime is 3233412037. The reversal of 3233412000 is 2143323.

3233412000 is a `hidden beast` number, since 323 + 341 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68795977 + ... + 68796023.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^3233412000 is an apocalyptic number.

3233412000 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 3233412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3233412000 is an abundant number, since it is smaller than the sum of its proper divisors (11824656480).

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

3233412000 is a wasteful number, since it uses less digits than its factorization.

3233412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3233412000 is about 56863.0987548164. The cubic root of 3233412000 is about 1478.7236378247.

Adding to 3233412000 its reverse (2143323), we get a palindrome (3235555323).

The spelling of 3233412000 in words is "three billion, two hundred thirty-three million, four hundred twelve thousand".