33820032 has 64 divisors (see below), whose sum is σ = 92962800. Its totient is φ = 10881024.

The previous prime is 33820013. The next prime is 33820037. The reversal of 33820032 is 23002833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33820032² = 2287589128962048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33819990 and 33820008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33820037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9618 + ... + 12654.

Almost surely, 2^33820032 is an apocalyptic number.

33820032 is a gapful number since it is divisible by the number (32) 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 33820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46481400).

33820032 is an abundant number, since it is smaller than the sum of its proper divisors (59142768).

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

33820032 is a wasteful number, since it uses less digits than its factorization.

33820032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33820032 is about 5815.4992906886. The cubic root of 33820032 is about 323.3885740692.

Adding to 33820032 its reverse (23002833), we get a palindrome (56822865).

The spelling of 33820032 in words is "thirty-three million, eight hundred twenty thousand, thirty-two".