33690368 has 36 divisors (see below), whose sum is σ = 67967088. Its totient is φ = 16665600.

The previous prime is 33690353. The next prime is 33690383. The reversal of 33690368 is 86309633.

It is an interprime number because it is at equal distance from previous prime (33690353) and next prime (33690383).

It is a super-2 number, since 2×33690368² = 2270081791950848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25205 + ... + 26507.

Almost surely, 2^33690368 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 33690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33983544).

33690368 is an abundant number, since it is smaller than the sum of its proper divisors (34276720).

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

33690368 is a wasteful number, since it uses less digits than its factorization.

33690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 33690368 is about 5804.3404448740. The cubic root of 33690368 is about 322.9747605579.

The spelling of 33690368 in words is "thirty-three million, six hundred ninety thousand, three hundred sixty-eight".