33830040 has 64 divisors (see below), whose sum is σ = 102216960. Its totient is φ = 8956800.

The previous prime is 33830039. The next prime is 33830063. The reversal of 33830040 is 4003833.

It is a super-2 number, since 2×33830040² = 2288943212803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33829989 and 33830016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17187 + ... + 19053.

It is an arithmetic number, because the mean of its divisors is an integer number (1597140).

Almost surely, 2^33830040 is an apocalyptic number.

33830040 is a gapful number since it is divisible by the number (30) 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 33830040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51108480).

33830040 is an abundant number, since it is smaller than the sum of its proper divisors (68386920).

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

33830040 is a wasteful number, since it uses less digits than its factorization.

33830040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2028 counting only the distinct ones).

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

The square root of 33830040 is about 5816.3596862643. The cubic root of 33830040 is about 323.4204698961.

Adding to 33830040 its reverse (4003833), we get a palindrome (37833873).

The spelling of 33830040 in words is "thirty-three million, eight hundred thirty thousand, forty".