33820956 has 144 divisors (see below), whose sum is σ = 101455200. Its totient is φ = 9704448.

The previous prime is 33820933. The next prime is 33820967. The reversal of 33820956 is 65902833.

It is a super-2 number, since 2×33820956² = 2287714129507872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33820956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310230 + ... + 310338.

It is an arithmetic number, because the mean of its divisors is an integer number (704550).

Almost surely, 2^33820956 is an apocalyptic number.

33820956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33820956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50727600).

33820956 is an abundant number, since it is smaller than the sum of its proper divisors (67634244).

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

33820956 is a wasteful number, since it uses less digits than its factorization.

33820956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 33820956 is about 5815.5787330239. The cubic root of 33820956 is about 323.3915191514.

The spelling of 33820956 in words is "thirty-three million, eight hundred twenty thousand, nine hundred fifty-six".