3234042400 has 72 divisors (see below), whose sum is σ = 7904494080. Its totient is φ = 1292079360.

The previous prime is 3234042373. The next prime is 3234042433. The reversal of 3234042400 is 42404323.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867741 + ... + 871459.

It is an arithmetic number, because the mean of its divisors is an integer number (109784640).

Almost surely, 2^3234042400 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 3234042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952247040).

3234042400 is an abundant number, since it is smaller than the sum of its proper divisors (4670451680).

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

3234042400 is a wasteful number, since it uses less digits than its factorization.

3234042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3234042400 is about 56868.6416226025. The cubic root of 3234042400 is about 1478.8197310338.

Adding to 3234042400 its reverse (42404323), we get a palindrome (3276446723).

The spelling of 3234042400 in words is "three billion, two hundred thirty-four million, forty-two thousand, four hundred".