33030400 has 108 divisors (see below), whose sum is σ = 88266052. Its totient is φ = 12165120.

The previous prime is 33030373. The next prime is 33030409. The reversal of 33030400 is 403033.

It can be written as a sum of positive squares in 6 ways, for example, as 2027776 + 31002624 = 1424^2 + 5568^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33030409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83002 + ... + 83398.

Almost surely, 2^33030400 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 33030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44133026).

33030400 is an abundant number, since it is smaller than the sum of its proper divisors (55235652).

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

33030400 is a wasteful number, since it uses less digits than its factorization.

33030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 33030400 is about 5747.2080178118. The cubic root of 33030400 is about 320.8518967539.

Adding to 33030400 its reverse (403033), we get a palindrome (33433433).

The spelling of 33030400 in words is "thirty-three million, thirty thousand, four hundred".