3234132400 has 30 divisors (see below), whose sum is σ = 7770004052. Its totient is φ = 1293652800.

The previous prime is 3234132397. The next prime is 3234132409. The reversal of 3234132400 is 42314323.

It is a happy number.

It is a super-2 number, since 2×3234132400² = 20919224761459520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3234132409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4042266 + ... + 4043065.

Almost surely, 2^3234132400 is an apocalyptic number.

It is an amenable number.

3234132400 is an abundant number, since it is smaller than the sum of its proper divisors (4535871652).

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

3234132400 is a wasteful number, since it uses less digits than its factorization.

3234132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085349 (or 8085338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3234132400 is about 56869.4329143522. The cubic root of 3234132400 is about 1478.8334489060.

Adding to 3234132400 its reverse (42314323), we get a palindrome (3276446723).

The spelling of 3234132400 in words is "three billion, two hundred thirty-four million, one hundred thirty-two thousand, four hundred".