33830900 has 18 divisors (see below), whose sum is σ = 73413270. Its totient is φ = 13532320.

The previous prime is 33830893. The next prime is 33830911. The reversal of 33830900 is 903833.

It can be written as a sum of positive squares in 3 ways, for example, as 8690704 + 25140196 = 2948^2 + 5014^2 .

It is a super-2 number, since 2×33830900² = 2289059589620000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33830900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169055 + ... + 169254.

It is an arithmetic number, because the mean of its divisors is an integer number (4078515).

Almost surely, 2^33830900 is an apocalyptic number.

It is an amenable number.

33830900 is an abundant number, since it is smaller than the sum of its proper divisors (39582370).

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

33830900 is a wasteful number, since it uses less digits than its factorization.

33830900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338323 (or 338316 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 33830900 is about 5816.4336151975. The cubic root of 33830900 is about 323.4232104510.

The spelling of 33830900 in words is "thirty-three million, eight hundred thirty thousand, nine hundred".