33341664 has 48 divisors (see below), whose sum is σ = 89186832. Its totient is φ = 10902528.

The previous prime is 33341657. The next prime is 33341687. The reversal of 33341664 is 46614333.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33341664² = 2223333116577792, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1812 + ... + 8364.

It is an arithmetic number, because the mean of its divisors is an integer number (1858059).

Almost surely, 2^33341664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33341664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44593416).

33341664 is an abundant number, since it is smaller than the sum of its proper divisors (55845168).

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

33341664 is a wasteful number, since it uses less digits than its factorization.

33341664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6611 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 33341664 is about 5774.2241037216. The cubic root of 33341664 is about 321.8566032028.

Adding to 33341664 its reverse (46614333), we get a palindrome (79955997).

The spelling of 33341664 in words is "thirty-three million, three hundred forty-one thousand, six hundred sixty-four".