33120352 has 48 divisors (see below), whose sum is σ = 69809040. Its totient is φ = 15413248.

The previous prime is 33120343. The next prime is 33120397. The reversal of 33120352 is 25302133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57924 + ... + 58492.

It is an arithmetic number, because the mean of its divisors is an integer number (1454355).

Almost surely, 2^33120352 is an apocalyptic number.

33120352 is a gapful number since it is divisible by the number (32) 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 33120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34904520).

33120352 is an abundant number, since it is smaller than the sum of its proper divisors (36688688).

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

33120352 is a wasteful number, since it uses less digits than its factorization.

33120352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 33120352 is about 5755.0284100081. The cubic root of 33120352 is about 321.1428924225.

Adding to 33120352 its reverse (25302133), we get a palindrome (58422485).

The spelling of 33120352 in words is "thirty-three million, one hundred twenty thousand, three hundred fifty-two".