33842864 has 40 divisors (see below), whose sum is σ = 73478928. Its totient is φ = 14964480.

The previous prime is 33842863. The next prime is 33842881. The reversal of 33842864 is 46824833.

It is a super-2 number, since 2×33842864² = 2290678887444992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33842863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3914 + ... + 9110.

Almost surely, 2^33842864 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 33842864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36739464).

33842864 is an abundant number, since it is smaller than the sum of its proper divisors (39636064).

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

33842864 is a wasteful number, since it uses less digits than its factorization.

33842864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5247 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 33842864 is about 5817.4619895621. The cubic root of 33842864 is about 323.4613312149.

The spelling of 33842864 in words is "thirty-three million, eight hundred forty-two thousand, eight hundred sixty-four".