33830860 has 48 divisors (see below), whose sum is σ = 81736704. Its totient is φ = 11521728.

The previous prime is 33830851. The next prime is 33830869. The reversal of 33830860 is 6803833.

It is an interprime number because it is at equal distance from previous prime (33830851) and next prime (33830869).

It is a super-2 number, since 2×33830860² = 2289054176679200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33830869) 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, 22657 + ... + 24103.

It is an arithmetic number, because the mean of its divisors is an integer number (1702848).

Almost surely, 2^33830860 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 33830860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40868352).

33830860 is an abundant number, since it is smaller than the sum of its proper divisors (47905844).

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

33830860 is a wasteful number, since it uses less digits than its factorization.

33830860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

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

The square root of 33830860 is about 5816.4301766633. The cubic root of 33830860 is about 323.4230829844.

The spelling of 33830860 in words is "thirty-three million, eight hundred thirty thousand, eight hundred sixty".