3233413008 has 240 divisors, whose sum is σ = 10954120320. Its totient is φ = 869750784.

The previous prime is 3233412961. The next prime is 3233413013. The reversal of 3233413008 is 8003143323.

3233413008 is a `hidden beast` number, since 323 + 34 + 1 + 300 + 8 = 666.

3233413008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3772516 + ... + 3773372.

It is an arithmetic number, because the mean of its divisors is an integer number (45642168).

Almost surely, 2^3233413008 is an apocalyptic number.

3233413008 is a gapful number since it is divisible by the number (38) 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 3233413008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477060160).

3233413008 is an abundant number, since it is smaller than the sum of its proper divisors (7720707312).

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

3233413008 is a wasteful number, since it uses less digits than its factorization.

3233413008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3233413008 is about 56863.1076182088. The cubic root of 3233413008 is about 1478.7237914862.

The spelling of 3233413008 in words is "three billion, two hundred thirty-three million, four hundred thirteen thousand, eight".