33042300 has 72 divisors (see below), whose sum is σ = 96827136. Its totient is φ = 8698560.

The previous prime is 33042299. The next prime is 33042307. The reversal of 33042300 is 324033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33042300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33042307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24237 + ... + 25563.

Almost surely, 2^33042300 is an apocalyptic number.

33042300 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 33042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48413568).

33042300 is an abundant number, since it is smaller than the sum of its proper divisors (63784836).

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

33042300 is a wasteful number, since it uses less digits than its factorization.

33042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 33042300 is about 5748.2432098860. The cubic root of 33042300 is about 320.8904236780.

Adding to 33042300 its reverse (324033), we get a palindrome (33366333).

The spelling of 33042300 in words is "thirty-three million, forty-two thousand, three hundred".