33880680 has 80 divisors (see below), whose sum is σ = 113887620. Its totient is φ = 9033984.

The previous prime is 33880673. The next prime is 33880699. The reversal of 33880680 is 8608833.

It can be written as a sum of positive squares in 2 ways, for example, as 32970564 + 910116 = 5742^2 + 954^2 .

It is a super-2 number, since 2×33880680² = 2295800954524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1989 + ... + 8468.

Almost surely, 2^33880680 is an apocalyptic number.

33880680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33880680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56943810).

33880680 is an abundant number, since it is smaller than the sum of its proper divisors (80006940).

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

33880680 is a wasteful number, since it uses less digits than its factorization.

33880680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 33880680 is about 5820.7112967403. The cubic root of 33880680 is about 323.5817648806.

It can be divided in two parts, 338 and 80680, that added together give a palindrome (81018).

The spelling of 33880680 in words is "thirty-three million, eight hundred eighty thousand, six hundred eighty".