33480000 has 280 divisors, whose sum is σ = 126959360. Its totient is φ = 8640000.

The previous prime is 33479989. The next prime is 33480001. The reversal of 33480000 is 8433.

It is a super-2 number, since 2×33480000² = 2241820800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33480001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1079985 + ... + 1080015.

Almost surely, 2^33480000 is an apocalyptic number.

33480000 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 33480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63479680).

33480000 is an abundant number, since it is smaller than the sum of its proper divisors (93479360).

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

33480000 is an equidigital number, since it uses as much as digits as its factorization.

33480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33480000 is about 5786.1904565958. The cubic root of 33480000 is about 322.3011212967.

Adding to 33480000 its reverse (8433), we get a palindrome (33488433).

The spelling of 33480000 in words is "thirty-three million, four hundred eighty thousand".