33450120 has 96 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 8108160.

The previous prime is 33450113. The next prime is 33450163. The reversal of 33450120 is 2105433.

It is a super-2 number, since 2×33450120² = 2237821056028800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33450093 and 33450102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264 + ... + 8183.

It is an arithmetic number, because the mean of its divisors is an integer number (1235520).

Almost surely, 2^33450120 is an apocalyptic number.

33450120 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 33450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304960).

33450120 is an abundant number, since it is smaller than the sum of its proper divisors (85159800).

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

33450120 is a wasteful number, since it uses less digits than its factorization.

33450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 33450120 is about 5783.6078705251. The cubic root of 33450120 is about 322.2052110630.

Adding to 33450120 its reverse (2105433), we get a palindrome (35555553).

The spelling of 33450120 in words is "thirty-three million, four hundred fifty thousand, one hundred twenty".