32434116 has 96 divisors (see below), whose sum is σ = 91276416. Its totient is φ = 8832000.

The previous prime is 32434111. The next prime is 32434133. The reversal of 32434116 is 61143423.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32434111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70126 + ... + 70586.

It is an arithmetic number, because the mean of its divisors is an integer number (950796).

Almost surely, 2^32434116 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 32434116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45638208).

32434116 is an abundant number, since it is smaller than the sum of its proper divisors (58842300).

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

32434116 is a wasteful number, since it uses less digits than its factorization.

32434116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 32434116 is about 5695.0957849715. The cubic root of 32434116 is about 318.9094255159.

Adding to 32434116 its reverse (61143423), we get a palindrome (93577539).

The spelling of 32434116 in words is "thirty-two million, four hundred thirty-four thousand, one hundred sixteen".