3233312400 has 240 divisors, whose sum is σ = 11159285760. Its totient is φ = 797913600.

The previous prime is 3233312389. The next prime is 3233312413. The reversal of 3233312400 is 42133323.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853711 + ... + 857489.

It is an arithmetic number, because the mean of its divisors is an integer number (46497024).

Almost surely, 2^3233312400 is an apocalyptic number.

3233312400 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 3233312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579642880).

3233312400 is an abundant number, since it is smaller than the sum of its proper divisors (7925973360).

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

3233312400 is a wasteful number, since it uses less digits than its factorization.

3233312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3233312400 is about 56862.2229604155. Note that the first 3 decimals coincide. The cubic root of 3233312400 is about 1478.7084544429.

Adding to 3233312400 its reverse (42133323), we get a palindrome (3275445723).

The spelling of 3233312400 in words is "three billion, two hundred thirty-three million, three hundred twelve thousand, four hundred".