33805980 has 72 divisors (see below), whose sum is σ = 110440512. Its totient is φ = 8320896.

The previous prime is 33805969. The next prime is 33805987. The reversal of 33805980 is 8950833.

It is a super-2 number, since 2×33805980² = 2285688567520800, 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 not an unprimeable number, because it can be changed into a prime (33805987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884 + ... + 9563.

It is an arithmetic number, because the mean of its divisors is an integer number (1533896).

Almost surely, 2^33805980 is an apocalyptic number.

33805980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33805980 is an abundant number, since it is smaller than the sum of its proper divisors (76634532).

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

33805980 is a wasteful number, since it uses less digits than its factorization.

33805980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475 (or 14470 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 33805980 is about 5814.2910143886. The cubic root of 33805980 is about 323.3437792589.

The spelling of 33805980 in words is "thirty-three million, eight hundred five thousand, nine hundred eighty".