3233755008 has 512 divisors, whose sum is σ = 11348928000. Its totient is φ = 903260160.

The previous prime is 3233754991. The next prime is 3233755009. The reversal of 3233755008 is 8005573323.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233755009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87398766 + ... + 87398802.

It is an arithmetic number, because the mean of its divisors is an integer number (22165875).

Almost surely, 2^3233755008 is an apocalyptic number.

3233755008 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

3233755008 is the 32832-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233755008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674464000).

3233755008 is an abundant number, since it is smaller than the sum of its proper divisors (8115172992).

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

3233755008 is a wasteful number, since it uses less digits than its factorization.

3233755008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3233755008 is about 56866.1147609013. The cubic root of 3233755008 is about 1478.7759248106.

The spelling of 3233755008 in words is "three billion, two hundred thirty-three million, seven hundred fifty-five thousand, eight".