33830368 has 48 divisors (see below), whose sum is σ = 78258096. Its totient is φ = 14192640.

The previous prime is 33830351. The next prime is 33830389. The reversal of 33830368 is 86303833.

33830368 = T₁₇₇ + T₁₇₈ + ... + T₅₉₂.

It is a super-2 number, since 2×33830368² = 2288987598030848, 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, 880 + ... + 8272.

It is an arithmetic number, because the mean of its divisors is an integer number (1630377).

Almost surely, 2^33830368 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 33830368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39129048).

33830368 is an abundant number, since it is smaller than the sum of its proper divisors (44427728).

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

33830368 is a wasteful number, since it uses less digits than its factorization.

33830368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 33830368 is about 5816.3878825264. The cubic root of 33830368 is about 323.4215151365.

The spelling of 33830368 in words is "thirty-three million, eight hundred thirty thousand, three hundred sixty-eight".