33873352 has 48 divisors (see below), whose sum is σ = 69060060. Its totient is φ = 15562368.

The previous prime is 33873347. The next prime is 33873353. The reversal of 33873352 is 25337833.

It can be written as a sum of positive squares in 2 ways, for example, as 33802596 + 70756 = 5814^2 + 266^2 .

It is a super-2 number, since 2×33873352² = 2294807951431808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33873353) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 106698 + ... + 107014.

Almost surely, 2^33873352 is an apocalyptic number.

It is an amenable number.

33873352 is an abundant number, since it is smaller than the sum of its proper divisors (35186708).

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

33873352 is a wasteful number, since it uses less digits than its factorization.

33873352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 375 counting only the distinct ones).

The product of its digits is 45360, while the sum is 34.

The square root of 33873352 is about 5820.0817863669. The cubic root of 33873352 is about 323.5584341983.

It can be divided in two parts, 33873 and 352, that added together give a square (34225 = 185²).

The spelling of 33873352 in words is "thirty-three million, eight hundred seventy-three thousand, three hundred fifty-two".