32734880 has 48 divisors (see below), whose sum is σ = 78087240. Its totient is φ = 12966912.

The previous prime is 32734847. The next prime is 32734901. The reversal of 32734880 is 8843723.

It can be written as a sum of positive squares in 4 ways, for example, as 29899024 + 2835856 = 5468^2 + 1684^2 .

It is a super-3 number, since 3×32734880³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 32734880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16502 + ... + 18378.

Almost surely, 2^32734880 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 32734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39043620).

32734880 is an abundant number, since it is smaller than the sum of its proper divisors (45352360).

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

32734880 is a wasteful number, since it uses less digits than its factorization.

32734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 32734880 is about 5721.4403780866. The cubic root of 32734880 is about 319.8921511560.

The spelling of 32734880 in words is "thirty-two million, seven hundred thirty-four thousand, eight hundred eighty".