32338480 has 80 divisors (see below), whose sum is σ = 79548480. Its totient is φ = 12207104.

The previous prime is 32338433. The next prime is 32338499. The reversal of 32338480 is 8483323.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122829 + ... + 123091.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 2^32338480 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 32338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39774240).

32338480 is an abundant number, since it is smaller than the sum of its proper divisors (47210000).

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

32338480 is a wasteful number, since it uses less digits than its factorization.

32338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 32338480 is about 5686.6932394846. The cubic root of 32338480 is about 318.5956689770.

The spelling of 32338480 in words is "thirty-two million, three hundred thirty-eight thousand, four hundred eighty".