32442342400 has 264 divisors, whose sum is σ = 87887437344. Its totient is φ = 11801395200.

The previous prime is 32442342391. The next prime is 32442342409. The reversal of 32442342400 is 424324423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32442342391) and next prime (32442342409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32442342409) 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 23 ways as a sum of consecutive naturals, for example, 23628114 + ... + 23629486.

Almost surely, 2^32442342400 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 32442342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43943718672).

32442342400 is an abundant number, since it is smaller than the sum of its proper divisors (55445094944).

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

32442342400 is a wasteful number, since it uses less digits than its factorization.

32442342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 32442342400 its reverse (424324423), we get a palindrome (32866666823).

The spelling of 32442342400 in words is "thirty-two billion, four hundred forty-two million, three hundred forty-two thousand, four hundred".