33490000 has 100 divisors (see below), whose sum is σ = 86288004. Its totient is φ = 12544000.

The previous prime is 33489979. The next prime is 33490003. The reversal of 33490000 is 9433.

It can be written as a sum of positive squares in 10 ways, for example, as 10679824 + 22810176 = 3268^2 + 4776^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×33490000² = 2243160200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33490000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33490003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169902 + ... + 170098.

Almost surely, 2^33490000 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 33490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43144002).

33490000 is an abundant number, since it is smaller than the sum of its proper divisors (52798004).

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

33490000 is a wasteful number, since it uses less digits than its factorization.

33490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 33490000 is about 5787.0545184921. The cubic root of 33490000 is about 322.3332070233. Note that the first 3 decimals are identical.

Adding to 33490000 its reverse (9433), we get a palindrome (33499433).

The spelling of 33490000 in words is "thirty-three million, four hundred ninety thousand".