33842088 has 96 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 9540864.

The previous prime is 33842077. The next prime is 33842093. The reversal of 33842088 is 88024833.

It is a happy number.

It is a super-2 number, since 2×33842088² = 2290573840399488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41428 + ... + 42236.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^33842088 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 33842088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

33842088 is an abundant number, since it is smaller than the sum of its proper divisors (72300312).

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

33842088 is a wasteful number, since it uses less digits than its factorization.

33842088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 33842088 is about 5817.3952934282. The cubic root of 33842088 is about 323.4588589269.

The spelling of 33842088 in words is "thirty-three million, eight hundred forty-two thousand, eighty-eight".