3233542400 has 216 divisors, whose sum is σ = 9115291584. Its totient is φ = 1124147200.

The previous prime is 3233542391. The next prime is 3233542439. The reversal of 3233542400 is 42453323.

It is a super-3 number, since 3×3233542400³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3233542400.

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 23 ways as a sum of consecutive naturals, for example, 1618202 + ... + 1620198.

It is an arithmetic number, because the mean of its divisors is an integer number (42200424).

Almost surely, 2^3233542400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557645792).

3233542400 is an abundant number, since it is smaller than the sum of its proper divisors (5881749184).

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

3233542400 is a wasteful number, since it uses less digits than its factorization.

3233542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 3233542400 is about 56864.2453568145. The cubic root of 3233542400 is about 1478.7435159978.

Adding to 3233542400 its reverse (42453323), we get a palindrome (3275995723).

The spelling of 3233542400 in words is "three billion, two hundred thirty-three million, five hundred forty-two thousand, four hundred".