33348672 has 140 divisors (see below), whose sum is σ = 113101120. Its totient is φ = 9517824.

The previous prime is 33348671. The next prime is 33348683. The reversal of 33348672 is 27684333.

It is a super-2 number, since 2×33348672² = 2224267848327168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33348671) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 35829 + ... + 36747.

Almost surely, 2^33348672 is an apocalyptic number.

33348672 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 33348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56550560).

33348672 is an abundant number, since it is smaller than the sum of its proper divisors (79752448).

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

33348672 is an equidigital number, since it uses as much as digits as its factorization.

33348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 931 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 33348672 is about 5774.8309066154. The cubic root of 33348672 is about 321.8791516981.

The spelling of 33348672 in words is "thirty-three million, three hundred forty-eight thousand, six hundred seventy-two".