32340400 has 60 divisors (see below), whose sum is σ = 78256152. Its totient is φ = 12843520.

The previous prime is 32340389. The next prime is 32340401. The reversal of 32340400 is 404323.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (32340401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93027 + ... + 93373.

Almost surely, 2^32340400 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 32340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39128076).

32340400 is an abundant number, since it is smaller than the sum of its proper divisors (45915752).

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

32340400 is a wasteful number, since it uses less digits than its factorization.

32340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 32340400 is about 5686.8620521338. The cubic root of 32340400 is about 318.6019740722.

Adding to 32340400 its reverse (404323), we get a palindrome (32744723).

The spelling of 32340400 in words is "thirty-two million, three hundred forty thousand, four hundred".