33800080 has 80 divisors (see below), whose sum is σ = 86177520. Its totient is φ = 12271616.

The previous prime is 33800077. The next prime is 33800099. The reversal of 33800080 is 8000833.

It can be written as a sum of positive squares in 8 ways, for example, as 3857296 + 29942784 = 1964^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33800080² = 2284890816012800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39012 + ... + 39868.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 2^33800080 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 33800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43088760).

33800080 is an abundant number, since it is smaller than the sum of its proper divisors (52377440).

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

33800080 is a wasteful number, since it uses less digits than its factorization.

33800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 33800080 is about 5813.7836217045. The cubic root of 33800080 is about 323.3249676040.

It can be divided in two parts, 338000 and 80, that multiplied together give a square (27040000 = 5200²).

The spelling of 33800080 in words is "thirty-three million, eight hundred thousand, eighty".