33480800 has 36 divisors (see below), whose sum is σ = 81736956. Its totient is φ = 13392000.

The previous prime is 33480787. The next prime is 33480809. The reversal of 33480800 is 808433.

It is a super-2 number, since 2×33480800² = 2241927937280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33480800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33480809) 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 5 ways as a sum of consecutive naturals, for example, 20126 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (2270471).

Almost surely, 2^33480800 is an apocalyptic number.

It is an amenable number.

33480800 is an abundant number, since it is smaller than the sum of its proper divisors (48256156).

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

33480800 is a wasteful number, since it uses less digits than its factorization.

33480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41871 (or 41858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 33480800 is about 5786.2595862958. The cubic root of 33480800 is about 322.3036883899.

The spelling of 33480800 in words is "thirty-three million, four hundred eighty thousand, eight hundred".