33720804 has 36 divisors (see below), whose sum is σ = 91796796. Its totient is φ = 10375488.

The previous prime is 33720803. The next prime is 33720821. The reversal of 33720804 is 40802733.

It can be written as a sum of positive squares in 2 ways, for example, as 4040100 + 29680704 = 2010^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33720804² = 2274185244812832, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (33720803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35559 + ... + 36494.

It is an arithmetic number, because the mean of its divisors is an integer number (2549911).

Almost surely, 2^33720804 is an apocalyptic number.

It is an amenable number.

33720804 is an abundant number, since it is smaller than the sum of its proper divisors (58075992).

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

33720804 is a wasteful number, since it uses less digits than its factorization.

33720804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72076 (or 72071 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33720804 is about 5806.9616840479. The cubic root of 33720804 is about 323.0719901392.

The spelling of 33720804 in words is "thirty-three million, seven hundred twenty thousand, eight hundred four".