33396768 has 72 divisors (see below), whose sum is σ = 96579756. Its totient is φ = 10944000.

The previous prime is 33396763. The next prime is 33396799. The reversal of 33396768 is 86769333.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24324624 + 9072144 = 4932^2 + 3012^2 .

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

It is a super-2 number, since 2×33396768² = 2230688225691648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33396763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16618 + ... + 18518.

Almost surely, 2^33396768 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 33396768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48289878).

33396768 is an abundant number, since it is smaller than the sum of its proper divisors (63182988).

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

33396768 is a wasteful number, since it uses less digits than its factorization.

33396768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1967 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 33396768 is about 5778.9936840249. The cubic root of 33396768 is about 322.0338171600.

The spelling of 33396768 in words is "thirty-three million, three hundred ninety-six thousand, seven hundred sixty-eight".