33483936 has 48 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 11033088.

The previous prime is 33483911. The next prime is 33483991. The reversal of 33483936 is 63938433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33483936² = 2242347940104192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33483894 and 33483903.

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, 6585 + ... + 10503.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^33483936 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 33483936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

33483936 is an abundant number, since it is smaller than the sum of its proper divisors (55421664).

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

33483936 is a wasteful number, since it uses less digits than its factorization.

33483936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4013 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 33483936 is about 5786.5305667559. The cubic root of 33483936 is about 322.3137510010.

The spelling of 33483936 in words is "thirty-three million, four hundred eighty-three thousand, nine hundred thirty-six".