32340102400 has 108 divisors (see below), whose sum is σ = 81175366944. Its totient is φ = 12753664000.

The previous prime is 32340102367. The next prime is 32340102409. The reversal of 32340102400 is 420104323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32340102409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418815 + ... + 489985.

It is an arithmetic number, because the mean of its divisors is an integer number (751623768).

Almost surely, 2^32340102400 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 32340102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40587683472).

32340102400 is an abundant number, since it is smaller than the sum of its proper divisors (48835264544).

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

32340102400 is an equidigital number, since it uses as much as digits as its factorization.

32340102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71268 (or 71249 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 32340102400 its reverse (420104323), we get a palindrome (32760206723).

The spelling of 32340102400 in words is "thirty-two billion, three hundred forty million, one hundred two thousand, four hundred".