33829240 has 32 divisors (see below), whose sum is σ = 76824000. Its totient is φ = 13405824.

The previous prime is 33829231. The next prime is 33829259. The reversal of 33829240 is 4292833.

It is a super-2 number, since 2×33829240² = 2288834957955200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481 + ... + 8239.

It is an arithmetic number, because the mean of its divisors is an integer number (2400750).

Almost surely, 2^33829240 is an apocalyptic number.

It is an amenable number.

33829240 is an abundant number, since it is smaller than the sum of its proper divisors (42994760).

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

33829240 is a wasteful number, since it uses less digits than its factorization.

33829240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 33829240 is about 5816.2909143199. The cubic root of 33829240 is about 323.4179205010.

The spelling of 33829240 in words is "thirty-three million, eight hundred twenty-nine thousand, two hundred forty".