33668352 has 72 divisors (see below), whose sum is σ = 99583680. Its totient is φ = 11220480.

The previous prime is 33668351. The next prime is 33668357. The reversal of 33668352 is 25386633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33668352² = 2267115852791808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33668351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4477 + ... + 9347.

Almost surely, 2^33668352 is an apocalyptic number.

33668352 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 33668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49791840).

33668352 is an abundant number, since it is smaller than the sum of its proper divisors (65915328).

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

33668352 is an equidigital number, since it uses as much as digits as its factorization.

33668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4876 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 33668352 is about 5802.4436231643. The cubic root of 33668352 is about 322.9043926536.

The spelling of 33668352 in words is "thirty-three million, six hundred sixty-eight thousand, three hundred fifty-two".