33720768 has 42 divisors (see below), whose sum is σ = 96656144. Its totient is φ = 11240064.

The previous prime is 33720751. The next prime is 33720781. The reversal of 33720768 is 86702733.

It is a super-2 number, since 2×33720768² = 2274180389019648, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28696 + ... + 29847.

Almost surely, 2^33720768 is an apocalyptic number.

It is an amenable number.

33720768 is an abundant number, since it is smaller than the sum of its proper divisors (62935376).

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

33720768 is a wasteful number, since it uses less digits than its factorization.

33720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58561 (or 58548 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 33720768 is about 5806.9585843193. The cubic root of 33720768 is about 323.0718751697.

It can be divided in two parts, 33 and 720768, that added together give a square (720801 = 849²).

The spelling of 33720768 in words is "thirty-three million, seven hundred twenty thousand, seven hundred sixty-eight".