33798500 has 48 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 12927200.

The previous prime is 33798493. The next prime is 33798503. The reversal of 33798500 is 589733.

It is a super-2 number, since 2×33798500² = 2284677204500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33798503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10031 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^33798500 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 33798500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

33798500 is an abundant number, since it is smaller than the sum of its proper divisors (43253020).

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

33798500 is a wasteful number, since it uses less digits than its factorization.

33798500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2969 counting only the distinct ones).

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

The square root of 33798500 is about 5813.6477361464. The cubic root of 33798500 is about 323.3199295349.

The spelling of 33798500 in words is "thirty-three million, seven hundred ninety-eight thousand, five hundred".