3233264100 has 288 divisors, whose sum is σ = 10919301120. Its totient is φ = 730752000.

The previous prime is 3233264093. The next prime is 3233264107. The reversal of 3233264100 is 14623323.

3233264100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3233264093) and next prime (3233264107).

It is not an unprimeable number, because it can be changed into a prime (3233264107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3111381 + ... + 3112419.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^3233264100 is an apocalyptic number.

3233264100 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 3233264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

3233264100 is an abundant number, since it is smaller than the sum of its proper divisors (7686037020).

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

3233264100 is a wasteful number, since it uses less digits than its factorization.

3233264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3233264100 is about 56861.7982480329. The cubic root of 3233264100 is about 1478.7010913051.

Adding to 3233264100 its reverse (14623323), we get a palindrome (3247887423).

The spelling of 3233264100 in words is "three billion, two hundred thirty-three million, two hundred sixty-four thousand, one hundred".