33880720 has 20 divisors (see below), whose sum is σ = 78772860. Its totient is φ = 13552256.

The previous prime is 33880699. The next prime is 33880723. The reversal of 33880720 is 2708833.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 9909904 = 4896^2 + 3148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33880720² = 2295806375436800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33880723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211675 + ... + 211834.

It is an arithmetic number, because the mean of its divisors is an integer number (3938643).

Almost surely, 2^33880720 is an apocalyptic number.

It is an amenable number.

33880720 is an abundant number, since it is smaller than the sum of its proper divisors (44892140).

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

33880720 is a wasteful number, since it uses less digits than its factorization.

33880720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423522 (or 423516 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 33880720 is about 5820.7147327455. The cubic root of 33880720 is about 323.5818922223.

The spelling of 33880720 in words is "thirty-three million, eight hundred eighty thousand, seven hundred twenty".