33705980 has 96 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 10241280.

The previous prime is 33705967. The next prime is 33705983. The reversal of 33705980 is 8950733.

33705980 = T₄₄₉ + T₄₅₀ + ... + T₆₆₃.

33705980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33705980² = 2272186175520800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 33705980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33705983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65966 + ... + 66474.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 2^33705980 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 33705980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239040).

33705980 is an abundant number, since it is smaller than the sum of its proper divisors (56772100).

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

33705980 is a wasteful number, since it uses less digits than its factorization.

33705980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 33705980 is about 5805.6851447525. The cubic root of 33705980 is about 323.0246413161.

The spelling of 33705980 in words is "thirty-three million, seven hundred five thousand, nine hundred eighty".