33042400 has 72 divisors (see below), whose sum is σ = 81651024. Its totient is φ = 13056000.

The previous prime is 33042391. The next prime is 33042403. The reversal of 33042400 is 424033.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33042403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82200 + ... + 82600.

It is an arithmetic number, because the mean of its divisors is an integer number (1134042).

Almost surely, 2^33042400 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 33042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40825512).

33042400 is an abundant number, since it is smaller than the sum of its proper divisors (48608624).

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

33042400 is a wasteful number, since it uses less digits than its factorization.

33042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 33042400 is about 5748.2519081891. The cubic root of 33042400 is about 320.8907473944.

Adding to 33042400 its reverse (424033), we get a palindrome (33466433).

It can be divided in two parts, 3 and 3042400, that added together give a palindrome (3042403).

The spelling of 33042400 in words is "thirty-three million, forty-two thousand, four hundred".