33276880 has 120 divisors (see below), whose sum is σ = 97071912. Its totient is φ = 10515456.

The previous prime is 33276853. The next prime is 33276899. The reversal of 33276880 is 8867233.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 33269824 = 84^2 + 5768^2 .

It is a super-3 number, since 3×33276880³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50634 + ... + 51286.

Almost surely, 2^33276880 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 33276880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48535956).

33276880 is an abundant number, since it is smaller than the sum of its proper divisors (63795032).

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

33276880 is a wasteful number, since it uses less digits than its factorization.

33276880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 33276880 is about 5768.6116180585. The cubic root of 33276880 is about 321.6480085586.

The spelling of 33276880 in words is "thirty-three million, two hundred seventy-six thousand, eight hundred eighty".